en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-y=7t

Solution

y^{^{''}} - y = 7 t

Solution

y = c_{1} e^{t} + c_{2} e^{- t} - 7 t

Solution steps

y^{''} (t) - y = 7 t

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} - 7 t

y = c_{1} e^{t} + c_{2} e^{- t} - 7 t

Graph

Popular Examples

y^{''}-4y=cos(3x)

y^{^{''}} - 4 y = cos (3 x)

y^{''}+3y^'+21y=9cos(4t)

y^{^{''}} + 3 y^{^{'}} + 21 y = 9 cos (4 t)

4y^{''}+7y^'-y=15

4 y^{^{''}} + 7 y^{^{'}} - y = 15

y^{''}+7y^'+12y=5e^{-6x}

y^{^{''}} + 7 y^{^{'}} + 12 y = 5 e^{- 6 x}

y^{''}-4y^'-45y=(7+2x)

y^{^{''}} - 4 y^{^{'}} - 45 y = (7 + 2 x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-y=7t ?
The solution for y^{''}-y=7t is y=c_{1}e^t+c_{2}e^{-t}-7t