en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

y = c_{1} + c_{2} e^{- t} - 3 t

Solution steps

y^{''} (t) + y^{'} (t) = - 3

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} - 3 t

y = c_{1} + c_{2} e^{- t} - 3 t

Graph

Popular Examples

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

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

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

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

y^{''}+1/10 y=-4/5 cos(3t)

y^{^{''}} + \frac{1}{10} y = - \frac{4}{5} cos (3 t)

y^{''}-y=sec(x),y(0)=1,y^'(0)=0

y^{^{''}} - y = sec (x), y (0) = 1, y^{^{'}} (0) = 0

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

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

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+y^'=-3 ?
The solution for y^{''}+y^'=-3 is y=c_{1}+c_{2}e^{-t}-3t