en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+4y=4x

Solution

y^{^{''}} + 4 y = 4 x

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of x^2+5x+1

\int x^{2} + 5 x + 1 d x

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

\frac{d}{d x} f (x) = (x - 1 - x^{2})^{2}

derivative of 12cos(2x+pi/6)

\frac{d}{d x} (12 cos (2 x + \frac{π}{6}))

(dy)/(dx)-2y=e^x

\frac{d y}{d x} - 2 y = e^{x}

derivative of y^2ln(x)

\frac{d}{d x} (y^{2} ln (x))

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+4y=4x ?
The solution for y^{''}+4y=4x is y=c_{1}cos(2x)+c_{2}sin(2x)+x