(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi all.

I am given the following ODE:

[tex]

\frac{dx}{dt} = x^{1/3}

[/tex]

with the initial condition x(0) = 0. I have to show that there is an infinite number of solutions. I'm not quite sure how to get started other than using seperation of variables and going on from there. But this only gives me 1 solution other than the trivial solution x(t) = 0.

So I have 2 solutions, which is less than infinite. What approach should I use?

Thanks in advance.

Best regards,

Niles.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# ODE: Finding solutions

**Physics Forums | Science Articles, Homework Help, Discussion**