1. y"-y = 0, y(0) = 4, y'(0) = 2. Use the fact that ex and e* are solutions of the differential equation. (Answer: y = 3e* + e*) 103 n 1603 Jice.
1. y"-y = 0, y(0) = 4, y'(0) = 2. Use the fact that ex and e* are solutions of the differential equation. (Answer: y = 3e* + e*) 103 n 1603 Jice.
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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![A. EXISTENCE AND UNIQUENESS THEOREM: Determine the unique solution of the initial value
problem for the following items:
1. y" - y = 0, y(0) = 4, y'(0) = 2. Use the fact that e* and e-* are solutions of the differential
equation. (Answer: y = 3e* + e-*)
2. y" + 4y = 0, y(0) = 2, y'(0) = 4. Use the fact that sin 2x and cos 2x are solutions of the differential
equation. ( Answer: y = 2 sin 2x + 2 cos 2x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e1666b-bea9-4f4b-a19b-7aa31dac77e1%2F137ed832-5984-495c-92bc-5d35c124ee60%2Fursmdkc_processed.png&w=3840&q=75)
Transcribed Image Text:A. EXISTENCE AND UNIQUENESS THEOREM: Determine the unique solution of the initial value
problem for the following items:
1. y" - y = 0, y(0) = 4, y'(0) = 2. Use the fact that e* and e-* are solutions of the differential
equation. (Answer: y = 3e* + e-*)
2. y" + 4y = 0, y(0) = 2, y'(0) = 4. Use the fact that sin 2x and cos 2x are solutions of the differential
equation. ( Answer: y = 2 sin 2x + 2 cos 2x)
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