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Popular >

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

Solution

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

Solution

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

Solution steps

\frac{x 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

derivative of tan(x+x^4)

\frac{d}{d x} (tan (x) + x^{4})

integral of arcsin(x)

\int arcsin (x) d x

y^{''}-2y^'+26y=0,y(0)=2,y^'(0)=5

y^{^{''}} - 2 y^{^{'}} + 26 y = 0, y (0) = 2, y^{^{'}} (0) = 5

(\partial)/(\partial x)(2xln(x^2y))

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

inverse oflaplace-2/(s^2)inverse laplace

- \frac{2}{s ^{2}}

Frequently Asked Questions (FAQ)

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