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Popular >

(dy)/(dx)=-xy

Solution

\frac{d y}{d x} = - x y

Solution

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

Solution steps

\frac{d y}{d x} = - x y

Solve separable ODE:

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

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

Popular Examples

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\int 5 x^{9} d x

derivative of 4t^{1/2}derivative of

4 t^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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