Homework Help: Calculus please help

Posted by Brian on Friday, February 18, 2011 at 12:45pm.

please help I can not understand this.
I need an implicit form answer for the general solution of differential equation dy/dx=2(e^x-e^-x)/y^2(e^x+e^-x)^4 with (y>0). I have seperated the y^2 to the left hand side to become 1/3y^3 but have no idea how to make the right hand side ready forintegration and what its integral is. Please help.

Calculus please help - MathMate, Friday, February 18, 2011 at 1:37pm
The integration is relatively straight-forward because you will notice that the numerator is the derivative of the base of the denominator, thus a substitution using u=(e^x+e^(-x)) will do the job.

For more details, see:
http://www.jiskha.com/display.cgi?id=1297960703

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