the general solution, using the formula 7. 8. dy dt dy dt -2ty + 2te-t². (sint)y + 2 sint. fG(s, t)q y(t) = y(0)G(0, t) + G(s, t)q(s) ds.
the general solution, using the formula 7. 8. dy dt dy dt -2ty + 2te-t². (sint)y + 2 sint. fG(s, t)q y(t) = y(0)G(0, t) + G(s, t)q(s) ds.
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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Transcribed Image Text:In Problems 7 and 8, find the growth factor G(s, t) for the differential equation, and then find
the general solution, using the formula
7.
8.
dy
dt
dy
= -2ty+2te-t²
= (sin t)y + 2 sin t.
y(t) = y(0)G(0, t) +
[G(s, t)
G(s, t)q(s) ds.
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