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
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PLEASE SOLVE THIS PROBLEM!
SOLVE THE DIFFERENTIAL EQUATION,
d²y + y = 0
o
SUBJECT TO THE CONDITIONg : y ( ) = 0, y²₁ ( 5 ) = 2
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 d2ydθ2+y=0

subject to condition y(π3)=0,y'(π3)=2

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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