What is a particular solution to the differential equation \frac{dy}{dx}=-\frac{x}{y}

zdebe5l8

zdebe5l8

Answered question

2022-04-16

What is a particular solution to the differential equation dydx=xy with y(4)=3?

Answer & Explanation

cutimnm135imsa

cutimnm135imsa

Beginner2022-04-17Added 21 answers

Explanation:
equation is separable as follows
ydydx=x
ydydxdx=xdx
ydy=xdx
y22=(x22C)
y22=Cx22
y2=Cx2
9=C42,C=19
y2=25x2
y=±25x2

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