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

getting gen sol of

xy^{3}z_{x}+x^{2}z^{2}z_{y}=y^{3}z

solve cauchy problem

x=y=t, z=1/t

3. The attempt at a solution

i got gen sol F(C1,C2)=0 as

C1=x/z, C2=y^{4}-x^{2}z^{2}

i inserted t for x and y and 1/t for z and ended up with

C1-2=1/(C2^{2})

I'm unsure what to do from here i tried to get equation in terms of z by inserting eqns for C1 and C2 but it becomes very messy

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

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!

# Homework Help: Cauchy Problem

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