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The following initial value problem is provided * = [ _¦ ¯ ] ³+ [ 22 ], Create the complementary solution to the homogeneous equation 7c(1) = α₁ + a₂ 7(0) = [8] Generate a particular solution by assuming the expression (t) = de² + b + and deduce the values of the undetermined constant vectors a, b, Xp(t) = [=] Create the general solution in the form of X(t) = c(t) +Xp(1) and use the initial condition to get the solution f initial value problem 1-1 x₁ (1) x2 (1)

The following initial value problem is provided * = [ _¦ ¯ ] ³+ [ 22 ], Create the complementary solution to the homogeneous equation 7c(1) = α₁ + a₂ 7(0) = [8] Generate a particular solution by assuming the expression (t) = de² + b + and deduce the values of the undetermined constant vectors a, b, Xp(t) = [=] Create the general solution in the form of X(t) = c(t) +Xp(1) and use the initial condition to get the solution f initial value problem 1-1 x₁ (1) x2 (1)

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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Q6.2 The following initial value problem is provided * - [ _-; -¯ ] ++ [ 2 ], x(0) = [8] Create the complementary solution to the homogeneous equation xc(1) = α₁ + α₂ Generate a particular solution by assuming the expression (1) = ãe² + b + cand deduce the values of the undetermined constant vectors a, b, c 3p(1) =[=] Create the general solution in the form of X(t) = c(t)+Xp(t) and use the initial condition to get the solution for the initial value problem x2 (1)
Transcribed Image Text:Q6.2 The following initial value problem is provided * - [ _-; -¯ ] ++ [ 2 ], x(0) = [8] Create the complementary solution to the homogeneous equation xc(1) = α₁ + α₂ Generate a particular solution by assuming the expression (1) = ãe² + b + cand deduce the values of the undetermined constant vectors a, b, c 3p(1) =[=] Create the general solution in the form of X(t) = c(t)+Xp(t) and use the initial condition to get the solution for the initial value problem x2 (1)
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