- #1
jinksys
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Homework Statement
Find the solution of the differential equation yy'(1+x2)-x(1+y2)=0 if y(0)=Sqrt(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 into 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.