Suppose the equation y" + p(t)y' + q(t)y= f(t) is non- homogenous, has a particular solution y,(t) = sin(t), and that the solution of the complementary equation is Yc(t) = cit + C2e¯. Which of the following is a solution of the following IVP? y" + p(t)y' + q(t)y = f(t), y(0) = 0, y'(0) = 0 O y = sin(t) +1 O y = sin(t) – t O y = t+e-t + sin(t) O y = t+et +t sin(t) O y = cos(t) – 1 O y = 1 – e-t + cos(t) O y = cos(t)+t
Suppose the equation y" + p(t)y' + q(t)y= f(t) is non- homogenous, has a particular solution y,(t) = sin(t), and that the solution of the complementary equation is Yc(t) = cit + C2e¯. Which of the following is a solution of the following IVP? y" + p(t)y' + q(t)y = f(t), y(0) = 0, y'(0) = 0 O y = sin(t) +1 O y = sin(t) – t O y = t+e-t + sin(t) O y = t+et +t sin(t) O y = cos(t) – 1 O y = 1 – e-t + cos(t) O y = cos(t)+t
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
Transcribed Image Text:Suppose the equation y" + p(t)y' +q(t)y = f(t) is non-
homogenous, has a particular solution yp(t) = sin(t), and that
the solution of the complementary equation is
Ye(t) = cit + C2e¯t. Which of the following is a solution of the
following IVP?
y" + p(t)y' + q(t)y = f(t), y(0) = 0, y'(0) = 0
O y = sin(t) +1
O y = sin(t) – t
O y = t+et + sin(t)
O y =t+et +t sin(t)
O y = cos(t) – 1
O y = 1 – e-t + cos(t)
O y = cos(t) +t
Expert Solution
Step 1 Given
We have to find solution of the IVP .
Where the equation is non-homogeneous, has a particular solution and that the solution of the complementary equation is .
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