4) dx + (x +ln(x + 2y- +In(2x + y
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 3
Solve
(x + 3y - 4) dx + (x + 4y - 5) dy = 0
2-1
x+2y-3
+ln(x+2y-3) = C
+ln(2x + y - 3) = C
In(2x + y-3) = C
ln(2x + y − 3) = C
-In(x+2y-3) = C
Ox+3y+ln(x+2y-3) = C
y+1
2x+y-3
2-1
2x+y-3
x + 2y
y-1
x+2y-3
Question 4
Solve
(x - 1)dx (3x - 2y - 5)dy = 0
(2y = x + 3)² = C(x -y + 2)²
(2y-x-3) = C(y - x + 2)²
(2yx+3)² = C(y-x + 2)
(2y - x + 2)² = C (x − y + 3)
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