Solve (x + 2y - 1)dx + (2x+y+1)dy = 0 O (y + 1)² + 4(x + 1) (y + 1) + (x + 1)² = 0 O (y − 1)² + 4(x + 1) (y − 1) + 2(x + 1)² = 0 (y-1)² + 2(x + 1) (y − 1) + (x + 1)² = 0 O 2(y-1)² + 4(x + 1) (y − 1) + (x + 1)² = 0 O (y-1)² + 4(x + 1) (y − 1) + (x + 1)² = 0 Question 2 Solve (2x + 1) dx (x + 3y + 2) dy = 0 O (x + y + 1)² (4x - 6y + 1)³ = C O (x + y + 1)² (4x - 3y + 1)³ = C O(x+y-1)² (4x - 6y-1)³ = C O (x + y −1)² (4x - 6y + 1)³ = C O (x + y + 1)² (4x - 6y-1)³ = C

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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Question 1
Solve
(x+2y-1)dx + (2x+y+1)dy = 0
O (y + 1)² + 4(x + 1) (y + 1) + (x + 1)² = 0
○ (y − 1)² + 4(x + 1) (y − 1) + 2(x + 1)² = 0
O (y-1)² + 2(x + 1) (y − 1) + (x + 1)² = 0
O 2(y-1)² + 4(x + 1) (y − 1) + (x + 1)² = 0
O (y-1)² + 4(x + 1) (y − 1) + (x + 1)² = 0
Question 2
Solve
(2x + 1) dx (x + 3y + 2) dy = 0
O (x + y + 1)² (4x − 6y + 1)³ = C
O (x + y + 1)² (4x - 3y + 1)³ = C
O(x+y-1)³ (4x - 6y - 1)³ = C
O (x+y-1)² (4x - 6y + 1)³ = C
O (x+y+ 1)² (4x - 6y - 1)³ = C
Transcribed Image Text:Question 1 Solve (x+2y-1)dx + (2x+y+1)dy = 0 O (y + 1)² + 4(x + 1) (y + 1) + (x + 1)² = 0 ○ (y − 1)² + 4(x + 1) (y − 1) + 2(x + 1)² = 0 O (y-1)² + 2(x + 1) (y − 1) + (x + 1)² = 0 O 2(y-1)² + 4(x + 1) (y − 1) + (x + 1)² = 0 O (y-1)² + 4(x + 1) (y − 1) + (x + 1)² = 0 Question 2 Solve (2x + 1) dx (x + 3y + 2) dy = 0 O (x + y + 1)² (4x − 6y + 1)³ = C O (x + y + 1)² (4x - 3y + 1)³ = C O(x+y-1)³ (4x - 6y - 1)³ = C O (x+y-1)² (4x - 6y + 1)³ = C O (x+y+ 1)² (4x - 6y - 1)³ = C
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