en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of f(x)=(7^{-3x})derivative of

f (x) = (7^{- 3 x})

integral of (4x^2-2/x)

\int (4 x^{2} - \frac{2}{x}) d x

derivative of f(x)=-x^2+1 derivative of

f (x) = - x^{2} + 1

integral of sqrt(1+4x^2)

\int 1 + 4 x^{2} d x

integral of x^2e^{x/2}

\int x^{2} e^{\frac{x}{2}} d x

Frequently Asked Questions (FAQ)

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