find an explicit formula for P in terms of t....

I'm struggling with this one

I know we can do dt/dP = 1/p(2-0.01p)

then apply partial fractions.. and then integerate and then .... thats when its gets abit tricky.

to find C... t=0 when P=50

the answer is 200/1+3e^-?t

I forgot what that something is...

Thanks