What is a solution to the differential equation $\frac{d y}{d x} = x y$ $dy/dx=xy$ ?

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Answer 1 · 2016-07-04T09:27:27

$= α e^{\frac{x^{2}}{2}}$ $= alpha e^{x^2/2 }$

it's separable!!

$y' = xy$

$1/y \ y' = x$

$ln y = x^2/2 + C$

$y = e^{x^2/2 + C}$

$= alpha e^{x^2/2 }$

What is a solution to the differential equation dy/dx=xydydx=xydy/dx=xy?