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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.

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  • $\begingroup$ What is the solution that you got? $\endgroup$ – M. Vinay Jun 9 '14 at 3:08
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I think there are two solutions:

  1. The trivial solution $y=0$.

  2. The solution you get from variable separation.

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  • $\begingroup$ i got it'' thanx $\endgroup$ – aryan Jun 3 '14 at 7:05

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