1. ## Arbitrary constants' elimination

Hi everyone,

I need to make the differential equation by eliminating the arbitrary constants a, b and c from ln y = ax^2 + bx +c.

I've done a similar problem (y=ax^2 + bx +c) using Wrosnkian and ended up with y'''=0.

Any hint to solve this problem? (e^lny = e^(ax^2 + bx + c) ---> y=e^(ax^2+bx+c)?)

2. ## Re: Arbitrary constants' elimination

Differentiating twice gives
$yy'-(y')^2=2ay^2$

,

,

,

### eliminate the arbitrary constant y ax 2 bx c

Click on a term to search for related topics.