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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

integral of 2x*cos(x^2)

\int 2 x \cdot cos (x^{2}) d x

x y^{^{'}} = 2 x + 3 y

sum from n=2 to infinity of (-1)^n

n = 2 \sum \infty (- 1)^{n}

limit as x approaches 0+of (36-4x^2)/x

x \to 0 + lim (\frac{36 - 4 x ^{2}}{x})

integral from 0 to infinity of 1/(2+e^x)

\int_{0}^{\infty} \frac{1}{2 + e ^{x}} d x

Frequently Asked Questions (FAQ)

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