What is a solution to the differential equation \frac{dy}{dx}=\frac{1+x}{xy} with

Eddie Clarke

Eddie Clarke

Answered question

2022-04-16

What is a solution to the differential equation dydx=1+xxy with y(1)=-4?

Answer & Explanation

mortaraskxnl

mortaraskxnl

Beginner2022-04-17Added 12 answers

Explanation:
separable equation so separate
dydx=1+xxy
ydydx=1+xx
ydydx=1x+1
ydydxdx=1x+1dx
ydy=1x+1dx
y22=lnx+x+C
y=±2lnx+2x+C
y(1)=-4
4=±0+2+C
y=2lnx+2x+14

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?