The solution of the differential ydx + (x - y3)dy = 0 is:
xy =
xy = y4 + c
y4 = 4xy + c
4y = y3 + c
C.
y4 = 4xy + c
Hence, the given equation is exact.
Integrating M, i.e., y w.r.t. x, treating y as a constant, we get xy.
Again, the only terms in N which do not contain x are - y3.
Integrating (- y3) w.r.t. y we obtain .
Hence, the solution of the given differential equation is
If X follows a binomial distribution with parameters n = 100 and p = then P(X = r) 3 is maximum when r is equal to
16
32
33
none of these
If is the angle between the lines AB and AC where A, B and C are the three points with coordinates (1, 2, - 1), (2, 0, 3), (3, - 1, 2) respectively, then is equal to
20
10
30
40