## Special method for solving a Linear Differential Equation with constant coefficients

### Method of Variation of parameters

## Topic

Special method for solving a Linear Differential Equation with constant coefficients

Method of Undetermined Coefficients

Method of Variation of parameters

## Method of Undetermined Coefficients Problems

- Use the method of undetermined coefficients to solve (d^2 y)/(dx^2) + dy/dx-2y = x+sinx
- Solve by the method of undetermined coefficients (D^2-3D+2)y = x^2+e^x
- By the method of undetermined coefficients solve (d^2y/dx^2)+y = 2 cos x
- Solve (D^2 – 2D)y = e^x sin x by method of undetermined coefficients
- Solve (D^2 +2D+4)y = 2x^2 +3 e^x by method of undetermined coefficients

## Method of Variation of parameters Problems

- Solve by the method of variation of parameters y’’-6y’+9y = e^3x / x^2
- Solve y’’+ y = tan x by the method of variation of parameters
- Solve by the method of variation of parameters y’’+ a^2y = sec ax
- Solve by the method of variation of parameters (d^2y/dx^2 – y) = 2 / (1+e^x)
- Solve by the method of variation of parameters y’’+ 4y = 4 tan 2x