Consider the initial value problem: --(: ) (:). -) a. Form the complementary solution to the homogeneous equation. z.(t) = a1 + az b. Construct a particular solution by assuming the form z,(t) = aet + bt +c and solving for the undetermined constant vectors a, b, and c. z,(t) = c. Solve the original initial value problem. )- 21(t) I2(t)
Consider the initial value problem: --(: ) (:). -) a. Form the complementary solution to the homogeneous equation. z.(t) = a1 + az b. Construct a particular solution by assuming the form z,(t) = aet + bt +c and solving for the undetermined constant vectors a, b, and c. z,(t) = c. Solve the original initial value problem. )- 21(t) I2(t)
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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Transcribed Image Text:Consider the initial value problem:
--(: ) (:). -)
a. Form the complementary solution to the homogeneous equation.
z.(t) = a1
+ az
b. Construct a particular solution by assuming the form z,(t) = aet + bt +c and solving for the undetermined constant vectors a, b, and c.
z,(t) =
c. Solve the original initial value problem.
)-
21(t)
I2(t)
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