Hi, I am supposed to solve the following initial value problem but am stuck with an ugly integral:

y' = http://www.mathgoodies.com/forums/im...math_alpha.gify(1-y) y(0)=yo (y subscript 0), where http://www.mathgoodies.com/forums/im...math_alpha.gif is an arbitrary constant.

I have worked it out as follows:

dy/dt = http://www.mathgoodies.com/forums/im...math_alpha.gif(y-yhttp://www.mathgoodies.com/forums/im...th_squared.gif)

dy/(y-yhttp://www.mathgoodies.com/forums/im...th_squared.gif) = http://www.mathgoodies.com/forums/im...math_alpha.gifdt

http://www.mathgoodies.com/forums/im...h_integral.gif[ dy/(y-yhttp://www.mathgoodies.com/forums/im...th_squared.gif) ] = http://www.mathgoodies.com/forums/im...h_integral.gif [ http://www.mathgoodies.com/forums/im...math_alpha.gifdt ]

http://www.mathgoodies.com/forums/im...h_integral.gif[ dy/(y-yhttp://www.mathgoodies.com/forums/im...th_squared.gif) ] = http://www.mathgoodies.com/forums/im...math_alpha.gift + c

But how do you integrate the left side? Or is there another way to solve this for y? Thank you.