5. dy dt = (sin t)y + 2 sin t.

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
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solve question 5 please

In Problems 4 and 5, find the growth factor G(s, t) for the differential equation, and then find
the general solution, using the formula
y(t) = y(0)G(0, 1) + √² G(s, t)q(s) ds.
4.
5.
dy
dt
dy
dt
-
=
-2ty + 2te-t².
(sin t)y + 2 sin t.
Transcribed Image Text:In Problems 4 and 5, find the growth factor G(s, t) for the differential equation, and then find the general solution, using the formula y(t) = y(0)G(0, 1) + √² G(s, t)q(s) ds. 4. 5. dy dt dy dt - = -2ty + 2te-t². (sin t)y + 2 sin t.
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