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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd61aa0cc-194b-4783-aa03-3c5c9cda5609%2F14b08de7-d535-45ae-b591-9530f3b99ed2%2F67wevd_processed.jpeg&w=3840&q=75)
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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