en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of 15sin^5(x)

\int 15 sin^{5} (x) d x

derivative of-e^{-x}x+e^{-x}

\frac{d}{d x} (- e^{- x} x + e^{- x})

y^{^{'}} = y^{2} - 100

limit as x approaches-2 of-4x+a

x \to - 2 lim (- 4 x + a)

d/(db)(T/(-ln(b/a)))

\frac{d}{d b} (\frac{T}{- ln ( \frac{b}{a} )})

Frequently Asked Questions (FAQ)

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