Problem B.5 The function y, = e2x is a solution to y" – 4y' + 4y = 0. This second-order ODE can be reduced to the first- order ODE w' = 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).

Problem B.5 The function y, = e2x is a solution to y" – 4y' + 4y = 0. This second-order ODE can be reduced to the first- order ODE w' = 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).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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Question

Problem B.5
The function y, = e2x is a solution to y" – 4y' + 4y = 0. This second-order ODE can be reduced to the first-
order ODE w' = 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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