Assume that now, IX 1 = R. Show that X-X=0 [ Hint: Differentiate constant ev]. Deduce that I is a constant along solution of system-[Diffrentiate Previous eq. again]. Find general solution which starts at (x₂4₂ 3) = (R₂020) at t=0. (Hint: Use that a csat+ basinat + cast sint = ya for all values of t only if α²=b²=8³ and Describe this solution looks like germetrically and draw a sketch of it. Give on interpretation of value of Longronge multiples L.. (=O)
Assume that now, IX 1 = R. Show that X-X=0 [ Hint: Differentiate constant ev]. Deduce that I is a constant along solution of system-[Diffrentiate Previous eq. again]. Find general solution which starts at (x₂4₂ 3) = (R₂020) at t=0. (Hint: Use that a csat+ basinat + cast sint = ya for all values of t only if α²=b²=8³ and Describe this solution looks like germetrically and draw a sketch of it. Give on interpretation of value of Longronge multiples L.. (=O)
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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Do both parts urgent
![A constrained extremisation Problem is expressed
as longronge multiplier problem with objective
functional.
I [X³ X] = √ [№₂ ²³+ y ²+ 3³ _K (t) (x² + y² +3²_R²) ]d²
where x = dx etc. and integeral has appropriate
fixed limitott
with fixed values of xoy and
Z at the endpoints.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5fb4c48-e210-4c5e-a541-160a60a9de22%2F80c1773e-61bc-4595-b704-66ad36902805%2Fmun41re_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A constrained extremisation Problem is expressed
as longronge multiplier problem with objective
functional.
I [X³ X] = √ [№₂ ²³+ y ²+ 3³ _K (t) (x² + y² +3²_R²) ]d²
where x = dx etc. and integeral has appropriate
fixed limitott
with fixed values of xoy and
Z at the endpoints.
![Assume that now X1 = R. Show that X-X=0 [Hint:
Differentiate constient ev]. Deduce that I is a
constant along solution of system-[Diffrentiate
Previous eq. again].
Find greveal solution which starts at (x0.4₂ 3) = (Rosa)
at t=0.
(Hint: Use that a csat+ basinat +C cost sint = ra
for all value of t only if d²=b²x² and C=0)
Describe this solution looks like geometrically and
draw a sketch of it. Give on interpretation of
value of Lonzoange multiples L..](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5fb4c48-e210-4c5e-a541-160a60a9de22%2F80c1773e-61bc-4595-b704-66ad36902805%2Fwemmuqd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume that now X1 = R. Show that X-X=0 [Hint:
Differentiate constient ev]. Deduce that I is a
constant along solution of system-[Diffrentiate
Previous eq. again].
Find greveal solution which starts at (x0.4₂ 3) = (Rosa)
at t=0.
(Hint: Use that a csat+ basinat +C cost sint = ra
for all value of t only if d²=b²x² and C=0)
Describe this solution looks like geometrically and
draw a sketch of it. Give on interpretation of
value of Lonzoange multiples L..
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