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The following initial value problem is provided ²' }¹+[*] = [₁3]²+ [**], ²0) = #(0) 8 5 Create the complementary solution to the homogeneous equation xc(1) = α₁ +0₂

The following initial value problem is provided ²' }¹+[*] = [₁3]²+ [**], ²0) = #(0) 8 5 Create the complementary solution to the homogeneous equation xc(1) = α₁ +0₂

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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Q5.3 The following initial value problem is provided * = []+[*] z(0) = [] Create the complementary solution to the homogeneous equation c(t) = α₁ +0₂ Generate a particular solution by assuming the expression ā. undetermined constant vector 3,₂(1) - [= xp(t) = Xp(t)=e-2¹a x₁ (t) = [ x2(t) and deduce the values of the Create the general solution in the form of X(t) = Xc(t)+Xp(t) and use the initial condition to get the solution for the initial value problem
Transcribed Image Text:Q5.3 The following initial value problem is provided * = []+[*] z(0) = [] Create the complementary solution to the homogeneous equation c(t) = α₁ +0₂ Generate a particular solution by assuming the expression ā. undetermined constant vector 3,₂(1) - [= xp(t) = Xp(t)=e-2¹a x₁ (t) = [ x2(t) and deduce the values of the Create the general solution in the form of X(t) = Xc(t)+Xp(t) and use the initial condition to get the solution for the initial value problem
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