en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+y^'=6

Solution

y^{^{''}} + y^{^{'}} = 6

Solution

y = c_{1} + c_{2} e^{- t} + 6 t

Solution steps

y^{''} (t) + y^{'} (t) = 6

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + 6 t

y = c_{1} + c_{2} e^{- t} + 6 t

Graph

Popular Examples

y^{''}-10y^'+29y=87x

y^{^{''}} - 10 y^{^{'}} + 29 y = 87 x

(D + 1) 3 y = 5 e - x

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

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

1/4 y^{''}+4y=3tan(4t)-1/2 e^{2t}

\frac{1}{4} y^{^{''}} + 4 y = 3 tan (4 t) - \frac{1}{2} e^{2 t}

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

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

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y^'=6 ?
The solution for y^{''}+y^'=6 is y=c_{1}+c_{2}e^{-t}+6t