Consider the initial value problem 70) = a. Form the complementary solution to the homogeneous equation. jc(t) = c1 + C2 b. Construct a particular solution by assuming the form p(t) äe" + bt +C and solving for the undetermined constant vectors a, b, and a. Up(t) = c. Form the general solution j(t) = jc(t) + p(t) and impose the initial condition to obtain the solution of the initial value problem. %3D 91(t) y2(t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please 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)
Transcribed Image Text: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)
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