en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+4y=8t

Solution

y^{^{''}} + 4 y = 8 t

Solution

y = c_{1} cos (2 t) + c_{2} sin (2 t) + 2 t

Solution steps

y^{''} (t) + 4 y = 8 t

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + 2 t

y = c_{1} cos (2 t) + c_{2} sin (2 t) + 2 t

Graph

Popular Examples

y^{''}+4y^'+6y=1+e^{-1},y(0)=0,y^'(0)=0

y^{^{''}} + 4 y^{^{'}} + 6 y = 1 + e^{- 1}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-2y^'+y=11e^x

y^{^{''}} - 2 y^{^{'}} + y = 11 e^{x}

y^{''}+36y=13sec^2(6t)

y^{^{''}} + 36 y = 13 sec^{2} (6 t)

y^{''}+4y=9t,y^'(0)=7

y^{^{''}} + 4 y = 9 t, y^{^{'}} (0) = 7

y^{''}+3y^'-4y=2cos(3x)

y^{^{''}} + 3 y^{^{'}} - 4 y = 2 cos (3 x)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+4y=8t ?
The solution for y^{''}+4y=8t is y=c_{1}cos(2t)+c_{2}sin(2t)+2t