-1 e2t æ(0) = %3|

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Question
Consider the initial value problem:
0 -1
x'
æ(0) = ().
-1
,2t
a. Form the complementary solution to the homogeneous equation.
x.(t) =
+ a2
b. Construct a particular solution by assuming the form æ,(t) = ae²t + bt + c and solving for the undetermined constant
vectors a, b, and c.
xp(t) =
Transcribed Image Text:Consider the initial value problem: 0 -1 x' æ(0) = (). -1 ,2t a. Form the complementary solution to the homogeneous equation. x.(t) = + a2 b. Construct a particular solution by assuming the form æ,(t) = ae²t + bt + c and solving for the undetermined constant vectors a, b, and c. xp(t) =
b. Construct a particular solution by assuming the form æ,(t) = ae2t + bt + c and solving for the undetermined constant
vectors a, b, and c.
с.
æp(t) =
c. Solve the original initial value problem.
¤1(t)
x2(t)
Transcribed Image Text:b. Construct a particular solution by assuming the form æ,(t) = ae2t + bt + c and solving for the undetermined constant vectors a, b, and c. с. æp(t) = c. Solve the original initial value problem. ¤1(t) x2(t)
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