What is the solution for y^{''}+y=4x+10sin(x) ?

The solution for y^{''}+y=4x+10sin(x) is y=c_{1}cos(x)+c_{2}sin(x)+4x-5xcos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+y=4x+10sin(x)

y^{^{''}} + y = 4 x + 10 sin (x)

y = c_{1} cos (x) + c_{2} sin (x) + 4 x - 5 x cos (x)

Solution steps

y^{''} (x) + y = 4 x + 10 sin (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 4 x - 5 x cos (x)

y = c_{1} cos (x) + c_{2} sin (x) + 4 x - 5 x cos (x)

y^{^{''}} - 5 y^{^{'}} + 6 y = t e^{t}

2 y^{^{''}} + 2 y^{^{'}} + y = 4 x

y^{^{''}} + y^{^{'}} = sin (x)

y^{^{''}} + 2 y^{^{'}} + 5 y = 4 e^{- x} cos (2 x)

y^{^{''}} - y^{^{'}} - 2 y = 2 e^{- x}

What is the solution for y^{''}+y=4x+10sin(x) ?
The solution for y^{''}+y=4x+10sin(x) is y=c_{1}cos(x)+c_{2}sin(x)+4x-5xcos(x)