Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Consider the initial value problem
ý' =
70) =
a. Form the complementary solution to the homogeneous equation.
ýct) = c1
+C2
b. Construct a particular solution by assuming the form yp(t) = a+ bt and solving for the undetermined constant vectors ä and b.
1
yp(t) =
c. Form the general solution y(t) = ýc(t) + ÿp(t) and impose the initial condition to obtain the solution of the initial value problem.
y1(t)
y2(t)
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