4. [cos(2y) - 3x2y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Identify if homogenous, exat or separation of variable and then perform. (Answer no. 4)
1)ay when X = 0; y = 0
4. [cos(2y) - 3x²y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0
when x = 0 ; y = 0
5.x2 (y+ 1)dx + y² (x – 1)dy = 0 when x = 2; y = 0
%3D
6. (x – y)dx + (3x + y)dy = 0 when x = 1; y = 0
Page
2 I 2
28°C N
Transcribed Image Text:1)ay when X = 0; y = 0 4. [cos(2y) - 3x²y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0 ; y = 0 5.x2 (y+ 1)dx + y² (x – 1)dy = 0 when x = 2; y = 0 %3D 6. (x – y)dx + (3x + y)dy = 0 when x = 1; y = 0 Page 2 I 2 28°C N
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