What is the solution for (dy)/(dx)=-5yx,y(0)=50 ?

The solution for (dy)/(dx)=-5yx,y(0)=50 is y=50e^{-(5x^2)/2}

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(dy)/(dx)=-5yx,y(0)=50

\frac{d y}{d x} = - 5 y x, y (0) = 50

y = 50 e^{- \frac{5 x ^{2}}{2}}

Solution steps

\frac{d y}{d x} = - 5 y x

Solve separable ODE:

y = 50 e^{- \frac{5 x ^{2}}{2}}

y = 50 e^{- \frac{5 x ^{2}}{2}}

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What is the solution for (dy)/(dx)=-5yx,y(0)=50 ?
The solution for (dy)/(dx)=-5yx,y(0)=50 is y=50e^{-(5x^2)/2}