Mathematics Problems

Solve (D^2-1)y = 3x^2+6x+12 using Non-homogenous Linear Differential Equation Problem Question Solve (D^2-1)y = 3x^2+6x+12 using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x…

Solve (D^4-18D^2+81)y=36 e^(3x) using Non-homogenous Linear Differential Equation Problem Question Solve (D^4-18D^2+81)y=36 e^(3x) using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x…

Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x using Non-homogenous Linear Differential Equation Problem Question Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x…

Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) using Non-homogenous Linear Differential Equation Problem Question Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) using Non-homogenous Linear Differential Equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x…

Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 using Homogeneous Linear Differential equation Problem Question Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 using Homogeneous Linear Differential equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y…

Solve (4D^4-4D^3-23D^2+12D+36)y=0 using Homogeneous Linear Differential equation Problem Question Solve (4D^4-4D^3-23D^2+12D+36)y=0 using Homogeneous Linear Differential equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x…

Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 using Homogeneous Linear Differential equation Problem Question Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 using Homogeneous Linear Differential equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x…

Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 using Homogeneous Linear Differential equation Problem Question Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 using Homogeneous Linear Differential equation Topics Differential equations of second and higher order with constant coefficients Solution of Homogeneous Linear Differential equation Solution of Non-homogenous Linear Differential Equation Homogeneous Linear Differential equation problems Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0 Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0 Solve (4D^4-4D^3-23D^2+12D+36)y=0 Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0 Non-homogeneous Linear Differential equation problems Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t) Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x Solve (D^4-18D^2+81)y=36 e^(3x) Solve (D^2-1)y = 3x^2+6x+12 Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x…

If f (z) is analytic show that log mod(f (z)) is harmonic Problem Question If f (z) is analytic show that log mod(f (z)) is harmonic   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate harmonic function and the analytic function in Complex…

If f(z) is a regular function of z, show that {(del/delx) modf(z)}^2+ {(del/dely)modf(z)}^2= modf'(z)^2 Problem Question If f(z) is a regular function of z, show that {(del/delx) modf(z)}^2+ {(del/dely)modf(z)}^2= modf'(z)^2   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate harmonic function and the…

If f(z)is analytic, show that [del^2/(delx^2 )+del^2/(dely^2 )] mod(f(z))^2=4mod(f'(z))^2 Problem Question If f(z)is analytic, show that [del^2/(delx^2 )+del^2/(dely^2 )] mod(f(z))^2=4mod(f'(z))^2   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate harmonic function and the analytic function in Complex Variables Type 4 - Steps for…

If u and v are harmonic functions show that (del u/del y-del v/del x) +i (del u/del y+ del v/del y) is analytic Problem Question If u and v are harmonic functions show that (del u/del y-del v/del x) +i (del u/del y+ del v/del y) is analytic   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its…

If f (z) =u(r, θ) +iv(r, θ) is analytic and given that u+v=1/r^2 (cos(2theta-sin2theta), r≠0, determine the analytic function f (z) Problem Question If f (z) =u(r, θ) +iv(r, θ) is analytic and given that u+v=1/r^2 (cos(2theta-sin2theta), r≠0, determine the analytic function f (z)   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part…

If f (z) =u+iv is analytic, find f (z) if u-v=(x-y) (x^2+4xy+y^2) Problem Question If f (z) =u+iv is analytic, find f (z) if u-v=(x-y) (x^2+4xy+y^2)   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate harmonic function and the analytic function in Complex…

Find the analytic function f (z) as a function of z given that the sum of its real and imaginary parts is x^3-y^3+3xy(x-y) Problem Question Find the analytic function f (z) as a function of z given that the sum of its real and imaginary parts is x^3-y^3+3xy(x-y)   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its…

Find the analytic function f (z) =u+iv given u-v=e^x (cosy-siny) Problem Question Find the analytic function f (z) =u+iv given u-v=e^x (cosy-siny)   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate harmonic function and the analytic function in Complex Variables Type 4 -…

Show that u=(r+1/r) cos(theta) is harmonic. Find its harmonic conjugate and also the corresponding analytic function Problem Question Show that u=(r+1/r) cos(theta) is harmonic. Find its harmonic conjugate and also the corresponding analytic function   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3 - Steps to find the conjugate…

Given that u=x^2+4x-y^2+2y as the real part of an analytic function, find v and hence find f (z) in terms of z Problem Question Given that u=x^2+4x-y^2+2y as the real part of an analytic function, find v and hence find f (z) in terms of z   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or…

Show that u=e^x (x cosy-y siny) is harmonic and find its harmonic conjugate. Also determine the corresponding analytic function Problem Question Show that u=e^x (x cosy-y siny) is harmonic and find its harmonic conjugate. Also determine the corresponding analytic function   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in Complex Variables Type-2 - Steps for construction of analytic function given its real or imaginary part in complex variables Type-3…

Determine which of the following function is harmonic and find the conjugate harmonic function and express u+iv as an analytic function of z.(a) v=log sqrt(x+y) (b) v=cos x sinhy Problem Question Determine which of the following function is harmonic and find the conjugate harmonic function and express u+iv as an analytic function of z.(a) v=log sqrt(x+y) (b) v=cos x sinhy   Topic Complex Variables - Analytic Function Type 1 - Steps to find the derivative of an analytic function in…