What is the solution for (dy)/(dx)=100x-xy ?

The solution for (dy)/(dx)=100x-xy is y=e^{-(x^2)/2+c_{1}}+100

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(dy)/(dx)=100x-xy

\frac{d y}{d x} = 100 x - x y

y = e^{- \frac{x ^{2}}{2} + c_{1}} + 100

Solution steps

\frac{d y}{d x} = 100 x - x y

Solve separable ODE:

y = e^{- \frac{x ^{2}}{2} + c_{1}} + 100

y = e^{- \frac{x ^{2}}{2} + c_{1}} + 100

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What is the solution for (dy)/(dx)=100x-xy ?
The solution for (dy)/(dx)=100x-xy is y=e^{-(x^2)/2+c_{1}}+100