1. = 2 + 3y dx %3D dy 2. dx = 2cos?y dy 3. (y2 + 2) = 5y, given y=1 when x=3 dx dy 4. = xV2x + 1 dx dy 5. dx (x³ + 3)žx? dy x+3x2 6.

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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Question
dy
1.
= 2 + 3y
dx
dy
2.
dx
2cos?y
dy
3. (y? + 2) = 5y, given y=1 when x=3
dx
dy
4.
= xV2x + 1
dx
1
dy
5.
dx
(x³ + 3)ix?
x+3x?
dy
6.
dx
Vx2+2x3
dy
7.
dx
x²e*³
dy
8.
dx
x* In x
dy
9.
— хех
dx
dy
10.
dx
x²e*
dy
11.
= x sinx
dx
12.
dx
dy
sin³2x cos2x
dy
13.
dx
sec²3x tan3x
dy
14.
dx
e3+2tanx sec?x
dy
15.
= tanx
dx
dy
16.
= cotx
dx
dy
17.
dx
= e*sinx
18.
dx
sin?x
dy
19.
= sec³x
dx
Transcribed Image Text:dy 1. = 2 + 3y dx dy 2. dx 2cos?y dy 3. (y? + 2) = 5y, given y=1 when x=3 dx dy 4. = xV2x + 1 dx 1 dy 5. dx (x³ + 3)ix? x+3x? dy 6. dx Vx2+2x3 dy 7. dx x²e*³ dy 8. dx x* In x dy 9. — хех dx dy 10. dx x²e* dy 11. = x sinx dx 12. dx dy sin³2x cos2x dy 13. dx sec²3x tan3x dy 14. dx e3+2tanx sec?x dy 15. = tanx dx dy 16. = cotx dx dy 17. dx = e*sinx 18. dx sin?x dy 19. = sec³x dx
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