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Popular >

xy^'+y=e^x

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

sum from n=2 to infinity of 1/(3^n)

n = 2 \sum \infty \frac{1}{3 ^{n}}

limit as x approaches 0-of (x+5)e^{1/x}

x \to 0 - lim ((x + 5) e^{\frac{1}{x}})

limit as x approaches-2 of x^2

x \to - 2 lim (x^{2})

derivative of pi^e+x^e

\frac{d}{d x} (π^{e} + x^{e})

derivative of e^{-1/x}derivative of

e^{- \frac{1}{x}}

Frequently Asked Questions (FAQ)

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