Basically, I have to use u = Real (f(x)e^-iwt) and sub it into the wave equation. Simplify it etc, then use say u= e^at to solve the characteristics equation. However, I get stuck. Can someone show me how to do it. Thank you
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Originally Posted by princessmath Basically, I have to use u = Real (f(x)e^-iwt) and sub it into the wave equation. Simplify it etc, then use say u= e^at to solve the characteristics equation. However, I get stuck. Can someone show me how to do it. Thank you If you assume and Now just expand out the right hand side of the eqation Now just put all of this into the equation Can you finish from here?
Yeah, that what I did. Btw you forgot the A(x) next to f''e^-iwt You can cancel e^-iwt etc. But I'm stuck on how do I find f(x).
In short, I'm stuck on how do I solve the second order differential equation.
Originally Posted by princessmath In short, I'm stuck on how do I solve the second order differential equation. The equation can be written in the form The is a Sturm-Liouville ODE (it is in its self-adjoint form). Does the equation have boundary conditions?
No, the question doesn't have any boundary conditions. Just said to find the ode f(x).
How would you go about solving that pde? See what I get is A(x)F''(x) + A'(x)F'(x) + w^2/c^2 F(x) = 0 and then I try letting m = e^bx then solving for the charateristic, but then I get confused
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