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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}

Popular Examples

integral from 6 to 8 of (94)/((x-6)^3)

\int_{6}^{8} \frac{94}{( x - 6 ) ^{3}} d x

derivative of (t+5)^{2/3}(2t^2-3)^3 derivative of

(t + 5)^{\frac{2}{3}} (2 t^{2} - 3)^{3}

integral from 0 to pi/(24) of cos(8x)

\int_{0}^{\frac{π}{24}} cos (8 x) d x

(\partial)/(\partial x)(26y^2sqrt(x))

\frac{\partial}{\partial x} (26 y^{2} x)

integral of ((sqrt(x)+\sqrt[3]{x})^3)/x

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