# Differential Equation

Gold Member

## Homework Statement

Solve and obtain an expression for x in terms of θ given $(3+ cos 2θ) dx/dθ = x sin 2θ$

## The Attempt at a Solution

.....$dx/x = ((sin 2θ)/(3+ cos 2θ))dθ$ ,

let $u = (3+cos 2θ)⇒ du/dθ= -2 sin 2θ$
thus

$∫dx/x = -1/2∫du/u$...........[/B]are my steps correct?i can solve from here