Verify by differentiation that the function provided solves the differential equation. (a) y = 2y + 1-2t², 2y t (b) y' = +t, (c) y'=et 3y, y=t+t² +2e²t y = t² Int 1 -t e Y 2 -3t

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Q 4

Verify by differentiation that the function provided solves the differential equation.
(a) y = 2y + 1-2t²,
2y
(b) y' = 2/4 + t,
t
(c) y' = e-t-3y,
y=t+t² +2e²t
y = t² Int
1 -t
e
y =
-3t
Transcribed Image Text:Verify by differentiation that the function provided solves the differential equation. (a) y = 2y + 1-2t², 2y (b) y' = 2/4 + t, t (c) y' = e-t-3y, y=t+t² +2e²t y = t² Int 1 -t e y = -3t
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