A. Find a particular solution to the nonhomogeneous differential
equation y′′ + 4y′ + 5y = −15x
+ e-x
y =
B. Find a particular solution to
y′′ + 4y = 16sin(2t).
yp =
C. Find y as a function of x if
y′′′ − 10y′′ + 16y′ =
21ex,
y(0) = 15, y′(0) = 28,
y′′(0) = 17.
y(x) =
Find a particular solution of the given differential equation.
Use a CAS as an aid in carrying out differentiations,
simplifications, and algebra.
y(4) + 2y'' + y = 11 cos(x) − 12x sin(x)