SOLVE THE DIFFERENTIAL EQUATION, SUBJECT TO THE CONDITIONS d²y + y = 0 y ( ² ) = 0, y₁ ( 5 ) = 2
SOLVE THE DIFFERENTIAL EQUATION, SUBJECT TO THE CONDITIONS d²y + y = 0 y ( ² ) = 0, y₁ ( 5 ) = 2
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:SOLVE THE DIFFERENTIAL EQUATION,
d²y + y = 0
o
SUBJECT TO THE CONDITIONg : y ( ) = 0, y²₁ ( 5 ) = 2
Expert Solution
Step 1
Given
subject to condition
solution:-auxiliary equation is r2+1=0
r=i
->the solution is y=A sinx+B cosx ---(1)
y'=Acosx-Bsinx ----(2)
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