# Show the relation is an implicit solution of the DiffEQ

1. Sep 11, 2014

### _N3WTON_

1. The problem statement, all variables and given/known data

Differential equation: 2xyy' = x^2 + y^2
Relation: y^2 = x^2 - cx
2. Relevant equations

3. The attempt at a solution
Hello, I can normally solve this problems with ease; however, I am having trouble with this particular problem. I have performed the implicit differentiation to get: (2yy' = 2x - c). However, I can't seem to figure out where to go from here. I am thinking that perhaps there is some obvious simplification that I am missing. If somebody can point me in the right direction I'd greatly appreciate it. Thanks.

2. Sep 11, 2014

### vela

Staff Emeritus
Multiply 2yy' = 2x-c by x so that the lefthand sides look the same and use 2x^2 = x^2+x^2.

3. Sep 11, 2014

### _N3WTON_

thank you very much, I figured I was missing something somewhat obvious