5. The exact equation (3x2y+e")dx + (x³ + xey-2y)dy = 0 has the general solution 2² - 2xy (A) x³y+xey-y²=C x³ + xey (C) y = x4 4 +2²2²-2xy (E) y = n(x³ +)+C (B) y=x3+xe + + +4 4 (D) -=C x³ + xey x4+x2² - 2xy +3
5. The exact equation (3x2y+e")dx + (x³ + xey-2y)dy = 0 has the general solution 2² - 2xy (A) x³y+xey-y²=C x³ + xey (C) y = x4 4 +2²2²-2xy (E) y = n(x³ +)+C (B) y=x3+xe + + +4 4 (D) -=C x³ + xey x4+x2² - 2xy +3
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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Transcribed Image Text:5. The exact equation (3x2y+e')dx + (x³ + xey-2y)dy = 0 has the general solution
x²+x2² - 2xy
4
(A) x³y+xey-y² = C
x³ + xey
*+2²2²-2xy
(C) y =
x4
4
(E) y = ln(x³ +)+C
(B) y=x3 +xe? +
(D)
如
x³ + xey
x3
x4
+/+*2²2 - 2xy
4
=C
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