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Popular >

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}

Popular Examples

(dy)/(dx)+y/x = 1/(xy^2)

\frac{d y}{d x} + \frac{y}{x} = \frac{1}{x y ^{2}}

laplacetransform-4cos(2t)laplace transform

- 4 cos (2 t)

derivative of 1/(5t^2-6t+2)derivative of

\frac{1}{5 t ^{2} - 6 t + 2}

derivative of \sqrt[3]{(3-4x^2/(2+6x)})

integral of y/(y+1)

\int \frac{y}{y + 1} d y

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