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Popular >

x((dy)/(dx))+y=e^x

Solution

x (\frac{d y}{d x}) + y = e^{x}

Solution

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

Solution steps

x (\frac{d y}{d 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}

Graph

Popular Examples

limit as x approaches 3 of-(x-4)/(x-3)

x \to 3 lim (- \frac{x - 4}{x - 3})

derivative of t^2-1/(t^3)derivative of

t^{2} - \frac{1}{t ^{3}}

(\partial}{\partial x}(\frac{y-3x)/z)

\frac{\partial}{\partial x} (\frac{y - 3 x}{z})

xy^'-y=x^2e^{-3x}

x y^{^{'}} - y = x^{2} e^{- 3 x}

limit as x approaches 1-of 2x+3

x \to 1 - lim (2 x + 3)

Frequently Asked Questions (FAQ)

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