Solve the differential equation (x²y³ + 6xy³) dy + (xy² + 3y²) dx + (x + 3) dx = 12y³dy; y(2) = 0 4(y² +1) x²+6x-12 O O O Ö O b. o y = In O c. None of the choices is correct. (y²+1) x²+6x-12 e. In y² = In y = (y² +1) z²+62 -12 In + C 4(y²+1) T²+62 -12 + C

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the differential equation
(x²y³ + 6xy³) dy + (xy² + 3y²) dx + (x + 3) dx = 12y³dy; y(2) = 0
4(y²+1)
x²+62-12
O
O
Ö
O c.
d.
O
b.
e.
y = In
y² = In
y² = In
None of the choices is correct.
(y² +1)
x²+62-12
Y =
(y² +1)
x²+6x-12
In
+ C
4(y² +1)
x²+6x -12
+ C
Transcribed Image Text:Solve the differential equation (x²y³ + 6xy³) dy + (xy² + 3y²) dx + (x + 3) dx = 12y³dy; y(2) = 0 4(y²+1) x²+62-12 O O Ö O c. d. O b. e. y = In y² = In y² = In None of the choices is correct. (y² +1) x²+62-12 Y = (y² +1) x²+6x-12 In + C 4(y² +1) x²+6x -12 + C
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