Exercises 1: Solve the following differential equations: (ey + y cos y)dx + (xe³ + x cos xy)dy = 0 (2xy3 2x3 y3 - 4xy2 + 2x)dx + (3x2 y2 +4y)dy = 0. - 2xy3 dx + (3x2 y2 + x2y3 + 1) dy = 0 x(x + y²)dy = y(3x - 2y2) dx xy" y' = 3x². ✓

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercises 1: Solve the following
differential equations:
(ey + y cos y)dx + (xe³ + x cos xy)dy = 0
(2xy3 2x3 y3 - 4xy2 + 2x)dx + (3x2 y2 +4y)dy = 0.
-
2xy3 dx + (3x2 y2 + x2y3 + 1) dy = 0
x(x + y²)dy = y(3x - 2y2) dx
xy" y' = 3x².
✓
Transcribed Image Text:Exercises 1: Solve the following differential equations: (ey + y cos y)dx + (xe³ + x cos xy)dy = 0 (2xy3 2x3 y3 - 4xy2 + 2x)dx + (3x2 y2 +4y)dy = 0. - 2xy3 dx + (3x2 y2 + x2y3 + 1) dy = 0 x(x + y²)dy = y(3x - 2y2) dx xy" y' = 3x². ✓
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