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Differential Equation

  • Thread starter chwala
  • Start date
  • #1
chwala
Gold Member
618
42

Homework Statement


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

Homework Equations




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
 

Answers and Replies

  • #2
Simon Bridge
Science Advisor
Homework Helper
17,847
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You noticed that it was 1st order seperable, and proposed a u-substitution for the resulting RHS: well done.
I didn't check your arithmetic - you have to do that yourself - but the reasoning is sound so far.
 

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