(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the solution of the differential equation yy'(1+x^{2})-x(1+y^{2})=0 if y(0)=Sqrt(3)

3. The attempt at a solution

I let y=Sqrt(3) and x=0 and solve for y'.

y'=0

Integrate both sides.

y=x +c

Plug my points in to find C

Sqrt(3)=0 +c

C=Sqrt(3)

My solution is y=x+Sqrt(3).

Check:

Plug x+Sqrt(3) in for y, and 1 for y' into the DE.

End up with Sqrt(3)=0, so somewhere I went wrong.

Any help appreciated, Thanks.

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# Homework Help: Differential Equation Roadblock

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