Find Two Solutions to a First Order Initial Value Problem

This video explains how to find two solutions to a first order differential equation initial value problem that does not have a unique solution.

[drakbrid]

YOU ARE I did not understand what the book was doing, now everything makes sense. I don't know why you only have 1, 136 views... =D

[arabknight]

in your example df/dy is not continuous at y=0; therefore, we cannot say that at y=0 we have a unique solution. However, that doesn't always mean that you have 2 solutions. Please correct me if I am wrong.

[Stuper]

We can't use Picard's Theorem to prove multiple solutions exist (only proves existence and uniqueness).

[masterchief]

I have a similar problem to this one but instead of asking to find any second solution to the problem, it says "find a non-zero solution". How would you go about doing this for this sort of problem?

[AbhishekKumar-shsi]

is it helpful for the gate preparations examination point of view...i mean this is in syllabus??

[avinashsinghavinashsingh]

how to find intial value problem dy by dx equl to y to the power 1 by 3 at y of 0 equal 0.

[OooooOz]

but it should have infinite solutions no ?