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4. (ye"-2y)dx + (xe-6 xy- 2y)dy = 0; x = 0 when y = 2. 5. (x+3) cos y dx - (sin y In(5x + 15)-y} dy = 0 xy (x - 3) = 4 (1- y') %3D y ew- 3xy - xy -3x-3 = 0

4. (ye"-2y)dx + (xe-6 xy- 2y)dy = 0; x = 0 when y = 2. 5. (x+3) cos y dx - (sin y In(5x + 15)-y} dy = 0 xy (x - 3) = 4 (1- y') %3D y ew- 3xy - xy -3x-3 = 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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Kindly answer items 4 and 5 only. Write legibly and show the complete solution.
Find the complete solution or particular solution of the following differential equations. Choose the correct answer from the answers in the right column. Show complete solution. А. Ехact dx 1. x dy = 0 y2 e* +x In y + y In x- cos y = C ey – 2 xy - y+3 = 0 2. (e*+ In y+)dx + (+In x+sin y) dy = 0 3. 3y(x? – 1)dx + (x+ 8y-3x) dy = 0; y=1, cos y In(5x + 15) + In y = C when x=0 4. (ye- 2y)dx+ (xe"-6 xy- 2y)dy = 0; x = 0 when y = 2. 5. (x+3)1 cos y dx-(sin y In(5x + 15)-y} dy = 0 xy (x - 3) = 4 (1- y³) y ew- 3xy – xy - 3x- 3 = 0 x = Cy
Transcribed Image Text:Find the complete solution or particular solution of the following differential equations. Choose the correct answer from the answers in the right column. Show complete solution. А. Ехact dx 1. x dy = 0 y2 e* +x In y + y In x- cos y = C ey – 2 xy - y+3 = 0 2. (e*+ In y+)dx + (+In x+sin y) dy = 0 3. 3y(x? – 1)dx + (x+ 8y-3x) dy = 0; y=1, cos y In(5x + 15) + In y = C when x=0 4. (ye- 2y)dx+ (xe"-6 xy- 2y)dy = 0; x = 0 when y = 2. 5. (x+3)1 cos y dx-(sin y In(5x + 15)-y} dy = 0 xy (x - 3) = 4 (1- y³) y ew- 3xy – xy - 3x- 3 = 0 x = Cy
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