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

Ryker Harvey

Ryker Harvey

Answered question

2022-04-19

What is a solution to the differential equation dydx=xy?

Answer & Explanation

cadhail6n1t

cadhail6n1t

Beginner2022-04-20Added 14 answers

dydx=xy
This is a First Order Separable Differential Equation, we can "separate the variables" to give;
ydy=xdx
Integrating we get:
12y2=12x2+A
y2=x2+2A
y2=x2+C

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