Finding a Particular Solution for a Non-Homogeneous Differential Equation

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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.
 
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Have you tried either (a) or (b) yet? If so, post your attempt and we'll be better able to help you.
 
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