To solve y(4) y 0 we must find the roots of m4 1 0. This is a trivial problem using a
Chapter 3, Problem 61(choose chapter or problem)
To solve \(y^{(4)}+y=0\) we must find the roots of \(m^{4}+1=0\). This is a trivial problem using a CAS, but it can also be done by hand working with complex numbers. Observe that \(m^{4}+1=\left(m^{2}+1\right)^{2}-2 m^{2}\). How does this help? Solve the differential equation.
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