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2ste-tds + (s²e-t – t)dt = 0

2ste-tds + (s²e-t – t)dt = 0

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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2ste-tds + (s²e-t – t)dt = 0
Transcribed Image Text:2ste-tds + (s²e-t – t)dt = 0
SOLUTION a. y2 = e-* C y? b. x2 = y 3 = (2x – 3y)^3 (x + y)^2 С. 9 y + 2 C =ln |(sec(tan-1 6)) +) d. У — 1 1 -1 (tan - csc 3(у — 1) s = [C(x – C,)j f. C = x²y² + 4x – 6y 1 3 g. C = (x² + y?)7 – xy 3 2 In |sin |+C h. S = CoS i. C = s²t – tet + et j. y? = -x²e-*(sin x + cos x) + Cx² 2y? + бу — 1 c =V16 – x² – 8sin-Ğ) - — х2 - k. 4 2y + 3 cos 2y + sin 2y 4 1-cos y | I. x = y2 1 m. = - x2 sin 4y + (C – 4y)sin?(2y) x3 y =+ (C, – 1)x + (2C, – 1) In |x – 1| + C2 n. e.
Transcribed Image Text:SOLUTION a. y2 = e-* C y? b. x2 = y 3 = (2x – 3y)^3 (x + y)^2 С. 9 y + 2 C =ln |(sec(tan-1 6)) +) d. У — 1 1 -1 (tan - csc 3(у — 1) s = [C(x – C,)j f. C = x²y² + 4x – 6y 1 3 g. C = (x² + y?)7 – xy 3 2 In |sin |+C h. S = CoS i. C = s²t – tet + et j. y? = -x²e-*(sin x + cos x) + Cx² 2y? + бу — 1 c =V16 – x² – 8sin-Ğ) - — х2 - k. 4 2y + 3 cos 2y + sin 2y 4 1-cos y | I. x = y2 1 m. = - x2 sin 4y + (C – 4y)sin?(2y) x3 y =+ (C, – 1)x + (2C, – 1) In |x – 1| + C2 n. e.
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