en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

y = \frac{e ^{2 x}}{4} + \frac{c _{1}}{e ^{2 x}}

Solution steps

y^{'} (x) + 2 y = e^{2 x}

Solve linear ODE:

y = \frac{e ^{2 x}}{4} + \frac{c _{1}}{e ^{2 x}}

y = \frac{e ^{2 x}}{4} + \frac{c _{1}}{e ^{2 x}}

Popular Examples

limit as x approaches 0+of log_{3}(x)

x \to 0 + lim (lo g_{3} (x))

integral of (10x^4-2sec^2(x))

\int (10 x^{4} - 2 sec^{2} (x)) d x

maclaurin (1+x)^{-2}maclaurin

(1 + x)^{- 2}

limit as n approaches infinity of (2n^5-3n^4+8)/(3n^5+1)

n \to \infty lim (\frac{2 n ^{5} - 3 n ^{4} + 8}{3 n ^{5} + 1})

f (x) = 3 x - 4

Frequently Asked Questions (FAQ)

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