Solution of Homogeneous Linear Differential equation

Solution of Homogeneous Linear Differential equation

Differential equation of second and higher order with constant coefficients

Solution of Homogeneous Linear Differential Equation

Method for finding the Complimentary Function

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

1. Solve (d^3/dx^3)y-2(d^2/dx^2)y+4(d/dx)y-8y=0
2. Solve (d^3/dx^3)y+6(d^2/dx^2)y+11(d/dx)y+6y=0
3. Solve (4D^4-4D^3-23D^2+12D+36)y=0
4. Solve (d^4/dx^4)y + 8 (d^2/dx^2)y+16y=0

Non-homogeneous Linear Differential equation problems

1. Solve (d^2/dt^2)x-6(dx/dt)+9x=5e^(-2t)
2. Solve (d^2/dx^2)y-4y=cosh(2x-1)+3^x
3. Solve (D^4-18D^2+81)y=36 e^(3x)
4. Solve (D^2-1)y = 3x^2+6x+12
5. Solve d^2y/dx^2 -6dy/dx+25y = e^2x +sin x + x
6. Solve (d^4y/dt^4)-y = e^t cos t
7. Solve y’’-y = x^2 cos x
8. Solve d^2 y/dx^2 -y = (1+x^2)e^x +x sin x