3 y = 3x²(1 + y') 5 2(ху + х)у 3D у 7 (y + x²y) dy = (xy² – x) dx 9 yy = 2(xy + x) 11 ye**y dy = dx 13 y = (y + 1)²/(x + 1)² 15 y + y² sin x = 0 17 (xy² + 3xy) dx – dy = 0 7 %3D %3D %3D %3D 2

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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Find a general solution of each of the following equations.3,7,9,11,13,15,17
3 y = 3x²(1 + y²)
5 2(ху + х)у %3D у
7 (y + x²y) dy = (xy² – x) dx
9 yу — 2(ху + x)
11 ye**> dy = dx
13 y = (y + 1)²/(x + 1)²
15 y + y² sin x = 0
17 (ху? + 3xу) dx — dy %3D 0
%3D
%3D
%3D
Transcribed Image Text:3 y = 3x²(1 + y²) 5 2(ху + х)у %3D у 7 (y + x²y) dy = (xy² – x) dx 9 yу — 2(ху + x) 11 ye**> dy = dx 13 y = (y + 1)²/(x + 1)² 15 y + y² sin x = 0 17 (ху? + 3xу) dx — dy %3D 0 %3D %3D %3D
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