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J (y)=[(l+y* xdx, y (0) = 19, y (1) = 30

J (y)=[(l+y* xdx, y (0) = 19, y (1) = 30

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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9:15 PM • K/s 1-i-iv- Find extr... Find extremals of: i) J(y) = | (e' +xy')dx, y (0) =0, y (1) =1. J(v) = [e*y"dx, y(0) = 0. y'(0) =1.y () =e, y'1) = 2e . ii) iii ) J (y)=| y (0) = 19, y (1) = 30 . iv ) J(y)= | (x+y') In siny'dx 0. v)J(y)= 27 | y 1+y"dx min, y (x,)= y,,y (x,) =y2 . 12 vi) J (y) = [(y," -y")dx →ext, y,(0) = 2, y,(1) = 0, y,(0) = 0, y ,(1) = 1, y, (0) = 1, y,0)=0
Transcribed Image Text:9:15 PM • K/s 1-i-iv- Find extr... Find extremals of: i) J(y) = | (e' +xy')dx, y (0) =0, y (1) =1. J(v) = [e*y"dx, y(0) = 0. y'(0) =1.y () =e, y'1) = 2e . ii) iii ) J (y)=| y (0) = 19, y (1) = 30 . iv ) J(y)= | (x+y') In siny'dx 0. v)J(y)= 27 | y 1+y"dx min, y (x,)= y,,y (x,) =y2 . 12 vi) J (y) = [(y," -y")dx →ext, y,(0) = 2, y,(1) = 0, y,(0) = 0, y ,(1) = 1, y, (0) = 1, y,0)=0
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