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 (d^2y/dx^2 – y) = 2 / (1+e^x)

or

Solve by the method of variation of parameters y’’-y = 2 / (1+e^x)

Problem

Question

Solve by the method of variation of parameters (d^2y/dx^2 – y) = 2 / (1+e^x)

or

Solve by the method of variation of parameters y’’-y = 2 / (1+e^x)

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

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

Method of Variation of parameters Problems

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