en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-y=2t+4

Solution

y^{^{''}} - y = 2 t + 4

Solution

y = c_{1} e^{t} + c_{2} e^{- t} - 2 t - 4

Solution steps

y^{''} (t) - y = 2 t + 4

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} - 2 t - 4

y = c_{1} e^{t} + c_{2} e^{- t} - 2 t - 4

Popular Examples

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

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

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

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

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

y^{'''}-2y^{''}-y^'+2y=e^{4t}

y^{^{'''}} - 2 y^{^{''}} - y^{^{'}} + 2 y = e^{4 t}

y^{''}-y^'-12y=e^{2x}+e^x-2

y^{^{''}} - y^{^{'}} - 12 y = e^{2 x} + e^{x} - 2

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-y=2t+4 ?
The solution for y^{''}-y=2t+4 is y=c_{1}e^t+c_{2}e^{-t}-2t-4