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

Angela Harrell

Angela Harrell

Answered question

2022-04-19

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

Answer & Explanation

posciad48o

posciad48o

Beginner2022-04-20Added 15 answers

We can separate the variables:
dydx=yxdyy=dxx
Integrate both sides:
dyy=dxxln(y)=ln(x)+C
So:
y=eln(x)+C=eln(x)eC=Cx
Answer:
y=Cx

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