Question

Solve the initial value problem:

Answer 1

Any ideas? Are you familiar with separable differential equations?

Answer 2

That involves separating the dy with y and the dx with x's correct? Because that is what I have tried doing, but then I got stuck about calculating the minimum.

\[y(x)=\frac{ -1 }{ (1/2)x^2+5x-1 }\] is what I got for the general solution where C = -1. But I am not sure if this is correct

Answer 3

\[\checkmark \]