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Calculus / Fundamentals of Differential Equations 8 / Chapter 4.7 / Problem 50E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

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(16).Theorem 8. Let y1(t) be a solution, not identically

Chapter 4, Problem 50E

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QUESTION:

PROBLEM 50EComplete the proof of Theorem 8 by solving equation (16).Theorem 8. Let y1(t) be a solution, not identically zero, to the homogeneous differential equation (10) in an interval I (see page 196). Then (13) is a second, linearly independent solution.

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QUESTION:

PROBLEM 50EComplete the proof of Theorem 8 by solving equation (16).Theorem 8. Let y1(t) be a solution, not identically zero, to the homogeneous differential equation (10) in an interval I (see page 196). Then (13) is a second, linearly independent solution.

ANSWER:

Solution In this question we have to complete the proof of theorem 8. Step 1 Proof : It is given that => => Integrating both sides, we get = =

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