solved by Luca Imponenti
Complete the solution to the following problem
-
where
and
Find the overall solution corresponds to the initial condition:
-
- Plot the solution over 3 periods.
Taking the derivatives of the particular solution
Plugging these into the ODE yields
Equating like terms allows us to solve for M and N
So the particular solution is
The overall solution in the sum of the homogeneous and particular solutions
To find A and B we apply the initial conditions
Taking the derivative
Giving us the overall solution
The period for is
Plotting the solution over 3 periods yields
Egm4313.s12.team11.imponenti (talk) 01:56, 30 March 2012 (UTC)