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I found the ODE $\displaystyle y'=3y^{\frac{2}{3}}$ under the assumption of $y(0)=0$ somewhere and tried to solve it.

I think there are infinitely many solutions to the problem but couldn't find more than $y=x^3$ and $y=0$.

Can you verify that there are infinitely many solutions or that there aren't?

Thanks for the help!

  • 0
    I can't agree with that2012-08-23
  • 0
    Sry, you are right2012-08-23
  • 0
    This is known as a [Bernoulli differential equation](http://en.wikipedia.org/wiki/Bernoulli_differential_equation).2012-08-23

2 Answers 2