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}}

\int \frac{2 x ^{3} + 11 x + 8}{x ^{3} + 4 x ^{2} + 4 x} d x

y^{^{''''}} + 17 y^{^{''}} + 16 y = 0

w \to 0 lim (\frac{a - w ^{2} + a ^{2}}{b - w ^{2} + b ^{2}})

2 x^{2} + x - 3, at x = - 1

\int \frac{z}{1 - y ^{2} z ^{2}} d y

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}}