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3t 0- [ 3t substituting it into the differential equation. (Enter the terms in the order given.) a. Verify that y(t) = is a solution to y' (t) = 1 -2 2 -2 1 2 y(t) by 2 2 1 Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (e', t², 2e²¹).

3t 0- [ 3t substituting it into the differential equation. (Enter the terms in the order given.) a. Verify that y(t) = is a solution to y' (t) = 1 -2 2 -2 1 2 y(t) by 2 2 1 Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (e', t², 2e²¹).

Advanced Engineering Mathematics
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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3t --- 3t a. Verify that y(t) = b. Verify that yo(t) = = is a solution to y '(t) substituting it into the differential equation. (Enter the terms in the order given.) y' (t) = 5t + 1 2t 4t + 2 = Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (e', t², 2e²¹). = 1 -2 2 -2 2 1 2 2 1 1 [ -2 is a particular solution to -2 21 1 2 1 2 y(t) + 2 y(t) by [1 4- (4t+ 4+ 5t) 0 2 (14t+2+ 4t) by substituting it into the differential equation. (Enter the terms in the order given.) Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (3, 3t², 2t + 1).
Transcribed Image Text:3t --- 3t a. Verify that y(t) = b. Verify that yo(t) = = is a solution to y '(t) substituting it into the differential equation. (Enter the terms in the order given.) y' (t) = 5t + 1 2t 4t + 2 = Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (e', t², 2e²¹). = 1 -2 2 -2 2 1 2 2 1 1 [ -2 is a particular solution to -2 21 1 2 1 2 y(t) + 2 y(t) by [1 4- (4t+ 4+ 5t) 0 2 (14t+2+ 4t) by substituting it into the differential equation. (Enter the terms in the order given.) Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (3, 3t², 2t + 1).
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