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Find a formula involving integrals for a particular solution of the differential equation y" - 15y" + 75y' - 125y = g(t). A formula for the particular solution is: g(s)e5(t-s) (st)² f 2 Y(t) = If g(t) = test, determine Y(t). est-4s (5-t)² 82 2 Y(t) = ds ds

Find a formula involving integrals for a particular solution of the differential equation y" - 15y" + 75y' - 125y = g(t). A formula for the particular solution is: g(s)e5(t-s) (st)² f 2 Y(t) = If g(t) = test, determine Y(t). est-4s (5-t)² 82 2 Y(t) = ds ds

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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Find a formula involving integrals for a particular solution of the differential equation y" - 15y" + 75y' — 125y = g(t). A formula for the particular solution is: Y(t) = [*g(s)e² t g(s)e³(t-s) (s — t)² 2 to If g(t) = test, determine Y(t). (5 - t)² $² Y(t)= = e5t-4s 2 d.s ds
Transcribed Image Text:Find a formula involving integrals for a particular solution of the differential equation y" - 15y" + 75y' — 125y = g(t). A formula for the particular solution is: Y(t) = [*g(s)e² t g(s)e³(t-s) (s — t)² 2 to If g(t) = test, determine Y(t). (5 - t)² $² Y(t)= = e5t-4s 2 d.s ds
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