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Popular >

(y^')/x =-y

Solution

\frac{y ^{^{'}}}{x} = - y

Solution

y = e^{- \frac{x ^{2}}{2} + c_{1}}

Solution steps

\frac{y ^{'} ( x )}{x} = - y

Solve separable ODE:

y = e^{- \frac{x ^{2}}{2} + c_{1}}

y = e^{- \frac{x ^{2}}{2} + c_{1}}

Graph

Popular Examples

ye^{-y}dy=-e^xx^2dx

y e^{- y} d y = - e^{x} x^{2} d x

(dy)/(dx)=\sqrt[3]{y},y(0)=5

\frac{d y}{d x} = 3 y, y (0) = 5

y^{^{'}} - k y = 180

e^yy(dy)/(dx)=e^{-y}+e^{-2x-y}

e^{y} y \frac{d y}{d x} = e^{- y} + e^{- 2 x - y}

y^'=(e^{-y^2})/y

y^{^{'}} = \frac{e ^{- y^{2}}}{y}

Frequently Asked Questions (FAQ)

What is the solution for (y^')/x =-y ?
The solution for (y^')/x =-y is y=e^{-(x^2)/2+c_{1}}