find the solution of the differential equation dy/dx=y^2+1 that satisfies the initial condition y(1)=0

Question

hartnn · Answer

That is easily variable separable, 
are you having trouble integrating, 1/(y^2+1) dy ?

abb0t · Answer

Do the same thing as I explained in the previous problem. Separate them by term. Then integrate both sides.

anonymous · Answer

i understand the answer the answer of the differential equation i just don't understand the initial condition part.

abb0t · Answer

The initial conditions simply means x=1 and y=0

hartnn · Answer

you would have got +c after integration, right ? 
plug in x=1, y=0 to get the value of c

abb0t · Answer

What you're doing is basically finding a value for "C" which is you're constant.

anonymous · Answer

oohh, now i get it.

anonymous · Answer

now who wants a medal?

abb0t · Answer

Once you find a value for "C" plug in that value back into your solution. That will be now your explicit solution.