What is the solution for y^{''}+y=2cos(x)+x ?

The solution for y^{''}+y=2cos(x)+x is y=c_{1}cos(x)+c_{2}sin(x)+xsin(x)+x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

y^{''}+y=2cos(x)+x

y^{^{''}} + y = 2 cos (x) + x

y = c_{1} cos (x) + c_{2} sin (x) + x sin (x) + x

Solution steps

y^{''} (x) + y = 2 cos (x) + x

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + x sin (x) + x

y = c_{1} cos (x) + c_{2} sin (x) + x sin (x) + x

What is the solution for y^{''}+y=2cos(x)+x ?
The solution for y^{''}+y=2cos(x)+x is y=c_{1}cos(x)+c_{2}sin(x)+xsin(x)+x