What is the solution for xy+(dy)/(dx)=120x ?

The solution for xy+(dy)/(dx)=120x is y=e^{-(x^2)/2+c_{1}}+120

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xy+(dy)/(dx)=120x

x y + \frac{d y}{d x} = 120 x

y = e^{- \frac{x ^{2}}{2} + c_{1}} + 120

Solution steps

x y + \frac{d y}{d x} = 120 x

Solve separable ODE:

y = e^{- \frac{x ^{2}}{2} + c_{1}} + 120

y = e^{- \frac{x ^{2}}{2} + c_{1}} + 120

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in v erse l a pl a ce \frac{e ^{- s} + s}{s ^{2} + s}

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What is the solution for xy+(dy)/(dx)=120x ?
The solution for xy+(dy)/(dx)=120x is y=e^{-(x^2)/2+c_{1}}+120