Differential EquationHard
Question
The solution of the differential equation (x2 sin3 y - y2 cos x) dx + (x3 cos y sin2 y - 2y sin x) dy = 0 is
Options
A.x3 sin3 y = 3y2 sin x + C
B.x3 sin3 y + 3y2 sin x = C
C.x3 sin3 y + 3y2 sin x = C
D.2x2 sin y + y2 sin x = C
Solution
(x3cos y sin2y - 2y sin x) dy - (y2 cosx - x2 sin3y) dx = 0
+ sin3 yd 
- y2d sinx = 0
d sin3y + sin3 yd 
- (sinx dy2 + y2 d sinx)
d
- d(y2 sinx) = 0
sin3y - y2sinx = c
+ sin3 yd - y2d sinx = 0 d sin3y + sin3 yd - (sinx dy2 + y2 d sinx)d
- d(y2 sinx) = 0 sin3y - y2sinx = cCreate a free account to view solution
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