# Question:Get Maple To Check Diff Eqn

## Question:Get Maple To Check Diff Eqn

Maple

ok so i have the differnetial equation

$\lambda^{2} (\frac{dx}{dt})^{2} = (cos{ \alpha} - x)(cos{ \beta} - x)$

where $x = cos{ \theta}$

and the solution is

$x = cos{ \alpha} sin^{2}{\frac{t}{2 \lambda}} + cos{ \beta} cos^{2}{\frac{t}{2 \lambda}}$

please show you're working cos that's where im getting lost

now i want to use maple to show this is the solution to the eqn.

how do i do this???

also, if anybody can show me how to prove that is the solution to the equation using pen and paper that would be great too.