What is the solution for (dy)/(dx)=(y/(20000))x ?

The solution for (dy)/(dx)=(y/(20000))x is y=e^{(x^2)/(40000)+c_{1}}

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(dy)/(dx)=(y/(20000))x

\frac{d y}{d x} = (\frac{y}{20000}) x

y = e^{\frac{x ^{2}}{40000} + c_{1}}

Solution steps

\frac{d y}{d x} = (\frac{y}{20000}) x

Solve separable ODE:

y = e^{\frac{x ^{2}}{40000} + c_{1}}

y = e^{\frac{x ^{2}}{40000} + c_{1}}

(sin (x) sin (y)) d y = (cosh (x) cos (y)) d x

\frac{d x}{d t} = 60 - \frac{1}{100} x

\frac{d P}{d t} P = (5000 (2)^{- \frac{t}{10}})

y + y^{^{'}} x = 0

g x^{^{'}} = 2 x - 9

What is the solution for (dy)/(dx)=(y/(20000))x ?
The solution for (dy)/(dx)=(y/(20000))x is y=e^{(x^2)/(40000)+c_{1}}