12. 13. 14. For the next three items, consider the following differential equation: ƏN ?x (x- - sin²x Let M be the coefficient of de and N be the coefficient of dy. ƏM Əy (A) 2 sin x cos x + 1 + 4xy³e¹y² + 4xe¹y² (B) 2 sin x cos x + 1 + 4xy³e¹y² + 4yezy² - 4xye¹¹²) dx + (2y sin r cos x + y + 2y²e¹²)dy = 0 (A) 2 sin x cos x + 1 + 4xy³e¹y² + 4xe¹y² (B) 2 sin x cos x + 1+ 4xy³e¹y² + 4yeªy² = ƏM ƏN ду əx (A) 2 sin x cos x + 4xy³e²y² + 4xey² (B) 2 sin x cos x + 2 + 4xy³e²y² + 4xeªy² (C) 2 sin x cos x - 1+ 4xy³ey² + 4xe¹y² (D) 2 sin x cos x -1 + 4xy³e²y² + 4yezy² (C) 2 sin x cos x-1 + 4xy³e¹y² + 4xery² (D) 2 sin x cos x - 1+ 4xy³e¹y² + 4yery² (C) 0 (D) 2 sin x cos x - 2 + 4xy³e²y² + 4xery²
12. 13. 14. For the next three items, consider the following differential equation: ƏN ?x (x- - sin²x Let M be the coefficient of de and N be the coefficient of dy. ƏM Əy (A) 2 sin x cos x + 1 + 4xy³e¹y² + 4xe¹y² (B) 2 sin x cos x + 1 + 4xy³e¹y² + 4yezy² - 4xye¹¹²) dx + (2y sin r cos x + y + 2y²e¹²)dy = 0 (A) 2 sin x cos x + 1 + 4xy³e¹y² + 4xe¹y² (B) 2 sin x cos x + 1+ 4xy³e¹y² + 4yeªy² = ƏM ƏN ду əx (A) 2 sin x cos x + 4xy³e²y² + 4xey² (B) 2 sin x cos x + 2 + 4xy³e²y² + 4xeªy² (C) 2 sin x cos x - 1+ 4xy³ey² + 4xe¹y² (D) 2 sin x cos x -1 + 4xy³e²y² + 4yezy² (C) 2 sin x cos x-1 + 4xy³e¹y² + 4xery² (D) 2 sin x cos x - 1+ 4xy³e¹y² + 4yery² (C) 0 (D) 2 sin x cos x - 2 + 4xy³e²y² + 4xery²
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
answer 12-14.
I know that you meed to answer 3parts not just the first question
Transcribed Image Text:12.
13.
14.
For the next three items, consider the following differential equation:
ƏN
?x
(x-
- sin²x
Let M be the coefficient of de and N be the coefficient of dy.
ƏM
Əy
(A) 2 sin x cos x + 1 + 4xy³e¹y² + 4xe¹y²
(B) 2 sin x cos x + 1 + 4xy³e¹y² + 4yezy²
- 4xye¹¹²) dx + (2y sin r cos x + y + 2y²e¹²)dy = 0
(A) 2 sin x cos x + 1 + 4xy³e¹y² + 4xe¹y²
(B) 2 sin x cos x + 1+ 4xy³e¹y² + 4yeªy²
=
ƏM ƏN
ду
əx
(A) 2 sin x cos x + 4xy³e²y² + 4xey²
(B) 2 sin x cos x + 2 + 4xy³e²y² + 4xeªy²
(C) 2 sin x cos x - 1+ 4xy³ey² + 4xe¹y²
(D) 2 sin x cos x -1 + 4xy³e²y² + 4yezy²
(C) 2 sin x cos x-1 + 4xy³e¹y² + 4xery²
(D) 2 sin x cos x - 1+ 4xy³e¹y² + 4yery²
(C) 0
(D) 2 sin x cos x - 2 + 4xy³e²y² + 4xery²
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