Consider the result (1.d) above. We will use it to calculate the solution for the ODE ƒ"(t) + ƒ' (t) + f(t) = e(t − 1)e-t as follows. (i) Write the expression in (1.d) in terms of L[ƒ[t]](s) assuming the boundary/initial conditions f'(0) = 0 and f(0) = 0
Consider the result (1.d) above. We will use it to calculate the solution for the ODE ƒ"(t) + ƒ' (t) + f(t) = e(t − 1)e-t as follows. (i) Write the expression in (1.d) in terms of L[ƒ[t]](s) assuming the boundary/initial conditions f'(0) = 0 and f(0) = 0
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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![3 Consider the result (1.d) above. We will use it to calculate the solution
for the ODE
ƒ"(t) + ƒ' (t) + f(t) = (t - 1)e-t
as follows.
(i) Write the expression in (1.d) in terms of L[ƒ[t]](s) assuming the
boundary/initial conditions f'(0) = 0 and f(0) = 0
d. ae(t - c₁) + bе(−t+c₂)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe37ebe49-731c-47f9-a49b-3a5f656faaa2%2F2700102d-b5b3-4e18-a263-38b6e86a8262%2F1xo5sht_processed.png&w=3840&q=75)
Transcribed Image Text:3 Consider the result (1.d) above. We will use it to calculate the solution
for the ODE
ƒ"(t) + ƒ' (t) + f(t) = (t - 1)e-t
as follows.
(i) Write the expression in (1.d) in terms of L[ƒ[t]](s) assuming the
boundary/initial conditions f'(0) = 0 and f(0) = 0
d. ae(t - c₁) + bе(−t+c₂)
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