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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

d er i v a t i v e cot (x)

\frac{d}{d x} ((x - 1) ln (x))

roo t s a sin (\frac{( π \cdot x )}{b})

\frac{d}{d x} (\frac{64}{x ^{2} + 16})

y \to 2 lim (\frac{y ^{3} - 6 y ^{2} + 12 y - 8}{y ^{4} - 4 y ^{3} + 16 y - 16})

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