1. y = -2xy %3D
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![Sheet 3 (Differential Equations)
1st order differential equations
1. y = -2xy
2. 2(xy+ x)y = y
3. ye*+ydy = dx
4. 2xdx – dy = x(xdy – 2ydx) y(-3) = 1
5. (x2 + y²)dx = 2xydy
6. (xy+ y²)dx = (x² + xy+ y²)dy
7. x²dy = (xy– y²)dx
8. (2xy+ x²)dx + (x² + y²)dy = 0
9. (siny - ysixy)dx+ (xcosy– xsinxy)dy = 0
10. (x2 – y²)y/ + (2xy+ 1) = 0
11. (5x2 + 1)y/ – (20xy) = 10x y(0) =
12. y/ + y = e¯* y(0) = 3
13. (x2 + 1)dy = (x³ – 2xy+ x)dx y(1) = 1
14. y/ + 2xy –x = e¯x*
15. yy + xy² – x = 0 y(0) = -1
16. ydy = (x- y²)dx
SudvEuv- Suan
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ecc66e2-eef7-44c8-abb0-8c04228a56ff%2F2f2782b6-9d76-4b4a-8a30-fd10f1956713%2Fipw0bfv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Sheet 3 (Differential Equations)
1st order differential equations
1. y = -2xy
2. 2(xy+ x)y = y
3. ye*+ydy = dx
4. 2xdx – dy = x(xdy – 2ydx) y(-3) = 1
5. (x2 + y²)dx = 2xydy
6. (xy+ y²)dx = (x² + xy+ y²)dy
7. x²dy = (xy– y²)dx
8. (2xy+ x²)dx + (x² + y²)dy = 0
9. (siny - ysixy)dx+ (xcosy– xsinxy)dy = 0
10. (x2 – y²)y/ + (2xy+ 1) = 0
11. (5x2 + 1)y/ – (20xy) = 10x y(0) =
12. y/ + y = e¯* y(0) = 3
13. (x2 + 1)dy = (x³ – 2xy+ x)dx y(1) = 1
14. y/ + 2xy –x = e¯x*
15. yy + xy² – x = 0 y(0) = -1
16. ydy = (x- y²)dx
SudvEuv- Suan
%3D
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