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RANSCIRBE THE FOLLOWING SOLUTION IN DIGITAL FOR

RANSCIRBE THE FOLLOWING SOLUTION IN DIGITAL FOR

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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TRANSCIRBE THE FOLLOWING SOLUTION IN DIGITAL FORMAT

2 Giren function is, x²y² where, x=6cost, y=6Sint 0≤t≤2π x²y² = 36 cos²4 - 6-sin't Also, dx=-6sintat = 36 [Cos²t -sin²t] dy=6costat = 36 Cosat. 27 & (x²=y²) dx = √ [36 Cos2+] [-6sint]dt O - = -108 = 211 36 (-6) [Cos2tsint]dt 271 (36x66)) [Sin(2t+t)-sin(2t-t) 2 (Using 2 cosAsinB = 211 ⇒ (36 (-3) (sin 3t-sint) dt 271 211 Sin3t + 108 sint dt = = 36 (1-01) - 108 (1-1) = 0 dt sin (A+B). - Sin(A-B) 1271 +401038/ 2013 1 Cos -108 [cost]27 NOW, 271 $(x²y²2)dy = √36cos2+ x 6 cost dt 271 = 36x6 ²7 [Cos(3+) + Cost] dt 2 (since 2cosA COSB-Cos(A+B) + Cos(A-B) =108 =108 ³ [0 +0] =0. = 0 sin3t + Sint 3 = 36.6 Now, $1x²y³ds, ds= √√36sin't +36 cos²4 dt ds = 6dt 271 ⇒ f (x²=y³ds = √36 cos2t-6 dt 127 Claszt dt = 36×6 = 277 sint 12¹ (0) 2 (ds = √√ (da) ² (dy) ² dt Sinet 7217 2
Transcribed Image Text:2 Giren function is, x²y² where, x=6cost, y=6Sint 0≤t≤2π x²y² = 36 cos²4 - 6-sin't Also, dx=-6sintat = 36 [Cos²t -sin²t] dy=6costat = 36 Cosat. 27 & (x²=y²) dx = √ [36 Cos2+] [-6sint]dt O - = -108 = 211 36 (-6) [Cos2tsint]dt 271 (36x66)) [Sin(2t+t)-sin(2t-t) 2 (Using 2 cosAsinB = 211 ⇒ (36 (-3) (sin 3t-sint) dt 271 211 Sin3t + 108 sint dt = = 36 (1-01) - 108 (1-1) = 0 dt sin (A+B). - Sin(A-B) 1271 +401038/ 2013 1 Cos -108 [cost]27 NOW, 271 $(x²y²2)dy = √36cos2+ x 6 cost dt 271 = 36x6 ²7 [Cos(3+) + Cost] dt 2 (since 2cosA COSB-Cos(A+B) + Cos(A-B) =108 =108 ³ [0 +0] =0. = 0 sin3t + Sint 3 = 36.6 Now, $1x²y³ds, ds= √√36sin't +36 cos²4 dt ds = 6dt 271 ⇒ f (x²=y³ds = √36 cos2t-6 dt 127 Claszt dt = 36×6 = 277 sint 12¹ (0) 2 (ds = √√ (da) ² (dy) ² dt Sinet 7217 2
Expert Solution
Step 1: Given Information

Given that the function is x squared minus y squared comma space where 

                                  x equals 6 cos t comma space y equals 6 sin t semicolon space 0 less or equal than t less or equal than 2 straight pi.

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