The function y₁ = e-3t is a solution to y" - 3y' - 18y = 0. This second-order ODE can be reduced to the first- order ODE w' - 9w = 0. Find a second linearly independent solution y2. Also, obtain the general solution. Do not use the textbook's formula 5 (shown in Theorem 3.2.1).
The function y₁ = e-3t is a solution to y" - 3y' - 18y = 0. This second-order ODE can be reduced to the first- order ODE w' - 9w = 0. Find a second linearly independent solution y2. Also, obtain the general solution. Do not use the textbook's formula 5 (shown in Theorem 3.2.1).
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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Transcribed Image Text:The function y₁ = e-3t is a solution to y" - 3y' - 18y = 0. This second-order ODE can be reduced to the first-
order ODE w' - 9w = 0. Find a second linearly independent solution y2. Also, obtain the general solution. Do
not use the textbook's formula 5 (shown in Theorem 3.2.1).
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