en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}-2y^'=4t

Solution

y^{^{''}} - 2 y^{^{'}} = 4 t

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

derivative of x/(10)

\frac{d}{d x} (\frac{x}{10})

limit as x approaches 10+of (x^3)/(x-10)

x \to 10 + lim (\frac{x ^{3}}{x - 10})

integral of 1/(x(1+2ln(x)))

\int \frac{1}{x ( 1 + 2 ln ( x ) )} d x

limit as x approaches 0 of 2+3e^{1/x}

x \to 0 lim (2 + 3 e^{\frac{1}{x}})

(\partial)/(\partial m)(m/v)

\frac{\partial}{\partial m} (\frac{m}{v})

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-2y^'=4t ?
The solution for y^{''}-2y^'=4t is y=c_{1}e^{2t}+c_{2}-t^2-t