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1 yy" + (y')? = yy' y(0) = 1, y'(0) = 2

1 yy" + (y')? = yy' y(0) = 1, y'(0) = 2

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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SOLUTION a. y? = e-x C y? b. x2 = y = (2x – 3y)^3 (x + y)^2 С. 9 y + 2 C =In |(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 C = 3 3 g. + y?)7 – xy 2 In |sin |+C h. S = Cos i. C = s²t – tet + et j. y? = -x²e-*(sin x + cos x) + Cx² 2y? + 6у — 1 c =V16 – x² – 8sin-Ğ) - 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. y? = e-x C y? b. x2 = y = (2x – 3y)^3 (x + y)^2 С. 9 y + 2 C =In |(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 C = 3 3 g. + y?)7 – xy 2 In |sin |+C h. S = Cos i. C = s²t – tet + et j. y? = -x²e-*(sin x + cos x) + Cx² 2y? + 6у — 1 c =V16 – x² – 8sin-Ğ) - 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.
1 yy" + (y')2 = yy' y(0) = 1, y'(0) 2
Transcribed Image Text:1 yy" + (y')2 = yy' y(0) = 1, y'(0) 2
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