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1. Solve the following differential equations using any of the methods discussed up to Lecture 6: dy 1. ах — by %3D bx — су 2. (xlпy + ху) + (ylnx + ху)у' %3 0 3. x cos? (2) – y|dx +xdy = 0 when x = 1, y = %3D 4. (9x² + y – 1) –- (4y – x)y' = 0 | 5. (e* sin y – 2y sin x) + (e* cos y + 2 cos x)y' = 0 у 6.(+ 6x) + (In x – 2)y' = 0

1. Solve the following differential equations using any of the methods discussed up to Lecture 6: dy 1. ах — by %3D bx — су 2. (xlпy + ху) + (ylnx + ху)у' %3 0 3. x cos? (2) – y|dx +xdy = 0 when x = 1, y = %3D 4. (9x² + y – 1) –- (4y – x)y' = 0 | 5. (e* sin y – 2y sin x) + (e* cos y + 2 cos x)y' = 0 у 6.(+ 6x) + (In x – 2)y' = 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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can you please give me the solution for number 3

1. Solve the following differential equations using any of the methods discussed up to Lecture 6: dy 1. ах — by %3D bx — су 2. (xlпy + ху) + (ylnx + ху)у' %3 0 3. x cos? (2) – y|dx +xdy = 0 when x = 1, y = %3D 4. (9x² + y – 1) –- (4y – x)y' = 0 | 5. (e* sin y – 2y sin x) + (e* cos y + 2 cos x)y' = 0 у 6.(+ 6x) + (In x – 2)y' = 0
Transcribed Image Text:1. Solve the following differential equations using any of the methods discussed up to Lecture 6: dy 1. ах — by %3D bx — су 2. (xlпy + ху) + (ylnx + ху)у' %3 0 3. x cos? (2) – y|dx +xdy = 0 when x = 1, y = %3D 4. (9x² + y – 1) –- (4y – x)y' = 0 | 5. (e* sin y – 2y sin x) + (e* cos y + 2 cos x)y' = 0 у 6.(+ 6x) + (In x – 2)y' = 0
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