What is the solution for (dy}{dx}=\frac{xy)/2 ?

The solution for (dy}{dx}=\frac{xy)/2 is y=e^{(x^2)/4+c_{1}}

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(dy}{dx}=\frac{xy)/2

\frac{d y}{d x} = \frac{x y}{2}

y = e^{\frac{x ^{2}}{4} + c_{1}}

Solution steps

\frac{d y}{d x} = \frac{x y}{2}

Solve separable ODE:

y = e^{\frac{x ^{2}}{4} + c_{1}}

y = e^{\frac{x ^{2}}{4} + c_{1}}

What is the solution for (dy}{dx}=\frac{xy)/2 ?
The solution for (dy}{dx}=\frac{xy)/2 is y=e^{(x^2)/4+c_{1}}