Find the general or particular solution of the following differential equation. 1. (6x3y + 2)dx - (2x - y - 1)dy = 0 2. (x+2y-1)dx - (2x + y - 5)dy = 0 3. (x+y-4) dx - (3x-y-4) dy = 0; when x = 4, y = 1 dy 4. x+y=exy4 5. xx+y=x²y² lnx dx dx II. Find the complete solution of the following differential equations using integrating factor found

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general or particular solution of the following differential equation.
1. (6x3y + 2)dx - (2x - y - 1)dy = 0
2. (x+2y-1)dx - (2x + y - 5)dy = 0
3. (x + y - 4) dx - (3x - y - 4)dy = 0; when x = 4, y = 1
dy
4.
x+y=e*y4
5. xx+y=x²y² lnx
dx
dx
II. Find the complete solution of the following differential equations using integrating factor found
by inspection.
6. y(y² + 1)dx + x(y² - 1)dy = 0
7. y(x³y5)dx − x(x³ + y5)dy = 0
8. (x³ + xy² + y)dx + (y³+x²y + x)dy = 0
Transcribed Image Text:Find the general or particular solution of the following differential equation. 1. (6x3y + 2)dx - (2x - y - 1)dy = 0 2. (x+2y-1)dx - (2x + y - 5)dy = 0 3. (x + y - 4) dx - (3x - y - 4)dy = 0; when x = 4, y = 1 dy 4. x+y=e*y4 5. xx+y=x²y² lnx dx dx II. Find the complete solution of the following differential equations using integrating factor found by inspection. 6. y(y² + 1)dx + x(y² - 1)dy = 0 7. y(x³y5)dx − x(x³ + y5)dy = 0 8. (x³ + xy² + y)dx + (y³+x²y + x)dy = 0
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