Finding a Particular Solution for a Non-Homogeneous Differential Equation

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 2K views
dm59
Messages
5
Reaction score
0
10. Consider the equation *) y'' + y = exp(-x^2)sec(x). Solutions of the corresponding homogeneous equation are of course cos(x) and sin(x).
We want a particular solution yp of *).
a) Try to use undetermined coefficients to find yp.
b) Try to do it using variation of parameters.
c) Both methods fail. Explain why.
 
Physics news on Phys.org