- #1

- 50

- 0

## Homework Statement

## Homework Equations

Sorry about this, I had to put this into wolfram alpha as for some reason it would not work in latex

## The Attempt at a Solution

Assuming Ec and Ej are not dependant on time, I have differentiated the first term in equation 10 with respect to time, and replaced the relevant terms with equation 9. The second term I have differentiated the fraction containing N's using the expression in the "relevant equations" section . This has resulted in the following expression

$$ \frac{d^2 \theta}{dt^2} = -E_c E_J \left(1-N^2 \right)^{\frac{1}{2}} sin(\theta) - \frac{E_{J}^2 sin(\theta) cos(\theta)}{1-N^2} $$

Can someone help me figure out why I am missing a factor of ##1/(1-N^2) ## in the first term and a factor of ##1+N^2## in the second term? My equation looks similar but I appear to have missed a step