## Related questions with answers

Question

Find the solution $y=y(x)$ of

$x \frac{d y}{d x}+y-\frac{y^2}{x^{3 / 2}}=0,$

subject to $y(1)=1$.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 10We are given a differential equation :

$x\dfrac{dy}{dx}+y-\dfrac{y^2}{x^{\frac32}}=0$

and we need to find the general solution to this differential equation.

Also, $y(1)=1$.

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