Wednesday
April 16, 2014

Homework Help: Mathematics

Posted by xX_Supaman_Xx on Saturday, December 29, 2007 at 6:20am.

Solve the following differential equation, i.e. solve for y:

dy/dx - y/x = 1/x + y + 1

I have this so far,

1. dy/dx= (y + 1 + xy + x)/x
2. x dy = (y + 1 + xy + x)dx
3. Integrate both sides...
xy + c = xy + x + .5x^2y + .5x^2 + k
where c and k are constants
4. c = x + .5x^2 (y + 1) + k
5. .5x^2 (y + 1) = c - k -x
6. y = 2(C- x)x^-2 - 1
where C = c - k

but I have been told this is wrong. so can soneone please direct me in the error of my method and show me the correct working out.

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