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Integral help

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The problem reads: Use seperation of variables to solve the initial value problem

 

dy/dx=x-4+xy-4y; y(0)=4

 

and also stuck with

\int_a^b x^2 lnx\,dx

 

any sugestions?

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ok for some reason I'm not able to get the math thing to work with all the symbols but if you understand that and know how to do it or have any suggetstions that would be appreciated.

1. Notice that [math]x-4+xy-4y=(x-4)(1+y)[/math]

2. Try integration by parts.

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