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

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

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

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

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

Solution steps

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

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