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Consider the initial value problem: 11 15 -4t e æ(0) = (6)- x' = -5 9. 0. a. Form the complementary solution to the homogeneous equation. a(t) = C1 + C2 = e 4ta and solving for the undetermined constant vecto b. Construct a particular solution by assuming the form æ,(t) a. ap(t) :

Consider the initial value problem: 11 15 -4t e æ(0) = (6)- x' = -5 9. 0. a. Form the complementary solution to the homogeneous equation. a(t) = C1 + C2 = e 4ta and solving for the undetermined constant vecto b. Construct a particular solution by assuming the form æ,(t) a. ap(t) :

Advanced Engineering Mathematics
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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Consider the initial value problem: -11 15 -4t` e æ' æ(0) = () x + -5 a. Form the complementary solution to the homogeneous equation. xe(t) = c1 + C2 b. Construct a particular solution by assuming the form æ,(t) = e-4ta and solving for the undetermined constant vector а. æp(t) =
Transcribed Image Text:Consider the initial value problem: -11 15 -4t` e æ' æ(0) = () x + -5 a. Form the complementary solution to the homogeneous equation. xe(t) = c1 + C2 b. Construct a particular solution by assuming the form æ,(t) = e-4ta and solving for the undetermined constant vector а. æp(t) =
x(t) = c1 + C2 b. Construct a particular solution by assuming the form æ,(t) = e¯4a and solving for the undetermined constant vector -4t а а. æp(t) = c. Solve the original initial value problem. )-( a1(t) x2(t)
Transcribed Image Text:x(t) = c1 + C2 b. Construct a particular solution by assuming the form æ,(t) = e¯4a and solving for the undetermined constant vector -4t а а. æp(t) = c. Solve the original initial value problem. )-( a1(t) x2(t)
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