y/" – 4y = 5e3x. (a) Find a fundamental set {y1, Y2} of y" – 4y = 0. (b) Compute the Wronskian of the fundamental set you found in (a). (c) The method of variation of parameters gives a particular solution in the form Yp = yıu1 + y2u2 Solve for u1(x) and u2(x). (d) Find the general solution by adding the complementary solution and the ticular solution y = yc + Yp• par-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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y/" – 4y = 5e3x.
(a) Find a fundamental set {y1, Y2} of y'" – 4y = 0.
(b) Compute the Wronskian of the fundamental set you found in (a).
(c) The method of variation of parameters gives a particular solution in the form
Yp = Yıui + y2U2
Solve for u1(x) and u2(x).
(d) Find the general solution by adding the complementary solution and the par-
ticular solution y = yc + Yp-
Transcribed Image Text:y/" – 4y = 5e3x. (a) Find a fundamental set {y1, Y2} of y'" – 4y = 0. (b) Compute the Wronskian of the fundamental set you found in (a). (c) The method of variation of parameters gives a particular solution in the form Yp = Yıui + y2U2 Solve for u1(x) and u2(x). (d) Find the general solution by adding the complementary solution and the par- ticular solution y = yc + Yp-
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