# Initial value problem 4

Which option is true for question which is as fallows:

The differential equation $$\begin{cases} y'=60(y^2)^{\frac{1}{5}} , x>0 \\y(0)=0 \end{cases}$$ has:
1. a unique solution
2. two solutions
3. no solution
4. infinite number of solution

I have solved it by variable separable method and I got only one solution
Please make me sure that I'm right or wrong.

• What is the solution that you got? – M. Vinay Jun 9 '14 at 3:08

1. The trivial solution $y=0$.