Consider the following initial value problem to be solved by
undetermined coefficients. y″ − 16y = 6, y(0) = 1, y′(0) = 0
Write the given differential equation in the form L(y) = g(x)
where L is a linear operator with constant coefficients. If
possible, factor L. (Use D for the differential operator.)
( )y = 16
Solve the given Boundary Value Problem. Apply the method
undetermined coefficients when you solve for the particular
solution.
y′′+2y′+y=(e^-x)(cosx−sinx)
y(0)=0,y(π)=e^π