# How do you use implicit differentiation to find dy/dx given #x^2+3xy-y^2=0#?

##### 2 Answers

#### Explanation:

so we have two solutions

This result can be obtained the usual way

now substituting

This result can be also obtained by observing that this is a homogeneous equation. Making

See below.

#### Explanation:

We consider

So we have

When we differentiate

Solve to get