Find C1, C2, and C3 so that the given functions will satisfy the prescribed initial conditions. 4a. y(x)=C,e* + C,e* + 3e* 4b. y (х) 3 С,е" + С, хе" + С,х'е" ; у'(1) -е ; у"(1)-2е ; у"(1)-5е y(0)=y'(0)=0 =D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If forbidden to answer both, just answer 4b, thank u.

Find C1, C2, and C3 so that the given functions will satisfy the prescribed initial conditions.
; y(0)=y'(0)=0
4a. y(x)=C,e* +C,e?* + 3e*
4b. у(х) — С,е* + С, хе" + С, х'е" ; у(1) -е ; у"(1)-2е ; у"(1)- 5е
2х
%3D
= e
Transcribed Image Text:Find C1, C2, and C3 so that the given functions will satisfy the prescribed initial conditions. ; y(0)=y'(0)=0 4a. y(x)=C,e* +C,e?* + 3e* 4b. у(х) — С,е* + С, хе" + С, х'е" ; у(1) -е ; у"(1)-2е ; у"(1)- 5е 2х %3D = e
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