Non-homogenous secx ODE's and Euler eq's

[hivesaeed4]

Suppose we have Asec(x) on the right hand side in a non-homogenous ODE and in a Euler equation. How do we solve it? ( I know how to solve for cos and sin on the right hand side but not for any other trig function).

 

[hivesaeed4]

Help?

 

[miglo]

For non-homogeneous ordinary differential equations, i was taught that you always had to use the method of annihilators if the right hand side was either cos(x), sin(x), exp(x), a polynomial function or the product and sum of any of these functions. For functions like sec(x)=1/cos(x) the annihilator method won't work, and therefore you will need to use the variation of parameters method to solve your differential equation.

It's how i was taught, so i don't know if there is another method out there that could be used.

 

[BackEMF]

Non-homogeneous secx eh? :P

You could always try a Power Series solution if you expand the sec(x) in a power series:

http://en.wikipedia.org/wiki/Power_series_solution_of_differential_equations