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Popular Calculus >

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

Solution

x \cdot \frac{d y}{d x} + y = e^{x}

Solution

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

Solution steps

x \cdot \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

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sqrt(xy)((dy)/(dx))=3

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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