What is the solution for y^{''}-y=-6sin(x) ?

The solution for y^{''}-y=-6sin(x) is y=c_{1}e^x+c_{2}e^{-x}+3sin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-y=-6sin(x)

y^{^{''}} - y = - 6 sin (x)

y = c_{1} e^{x} + c_{2} e^{- x} + 3 sin (x)

Solution steps

y^{''} (x) - y = - 6 sin (x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + 3 sin (x)

y = c_{1} e^{x} + c_{2} e^{- x} + 3 sin (x)

y^{^{''}} + 4 y^{^{'}} + 6 y = 1, + e^{- t} y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + y^{^{'}} = - 1

y^{^{''}} + y^{^{'}} = - 3

y^{^{''}} - 3 y^{^{'}} - 4 y = - 8 e t cos (2 t)

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

What is the solution for y^{''}-y=-6sin(x) ?
The solution for y^{''}-y=-6sin(x) is y=c_{1}e^x+c_{2}e^{-x}+3sin(x)