# answer both parts b and c of the question : Consider the initial value problem T(0) %3D a. Form the complementary solution to the homogeneous

answer both parts b and c of the question : Consider the initial value problem
T(0)
%3D
a. Form the complementary solution to the homogeneous equation.
ic(t) = c1
+ C2
b. Construct a particular solution by assuming the form p(t) = ãe” + bt + and solving for the undetermined constant vectors a, b, and 2.
Tr(t)
!!
c. Form the general solution j(t) = ye(t) + yp(t) and impose the initial condition to obtain the solution of the initial value problem.
y1 (t)
y2(t)

(550 words)

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