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Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. dy 7-25t dt When y= dy dt S +25y = 35; y=-e-2 5 7 7 5 5 Thus, in terms of t, dy + 25y = dt B +25(3-3-25)

Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. dy 7-25t dt When y= dy dt S +25y = 35; y=-e-2 5 7 7 5 5 Thus, in terms of t, dy + 25y = dt B +25(3-3-25)

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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Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. dy + 25y = 35; y = -e-25t 7 — dt When y = dy dt 7 5 + 25y = 7-25t, e Thus, in terms of t, dy dt 11 5 +25 (²-2)
Transcribed Image Text:Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution. dy + 25y = 35; y = -e-25t 7 — dt When y = dy dt 7 5 + 25y = 7-25t, e Thus, in terms of t, dy dt 11 5 +25 (²-2)
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To Prove: The given function  y=75-75e-25t is the solution of the given differential equation  dydt+25y=35.

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