- #1

Poetria

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- 42

## Homework Statement

**Riccati sets y/x=q and then arrives at x^2*dq. This is his analysis of Jacob Hermann's differential equations criticised by Johannes Bernoulli (published in 1710).**

x*dy-y*dx is a constant and is equivalent to dt.

I have understood everything except for the q-substitution.

x*dy-y*dx is a constant and is equivalent to dt.

I have understood everything except for the q-substitution.

## The Attempt at a Solution

**Well, I have tried several times but all my solutions are not correct. E.g. x*dx*(dq-q). I have no idea how he got this square. I am missing some clues.**