If y(x) is a solution of the differential equation then find the value of


Find the particular solution of the differential equation : x ≠ 0. Given that y = 0, when
Find the particular solution of the differential equation : 4x cosec x, (x ≠ 0), given, that y = 0,when
Solve the differential equation + given that y = 1 when x = 1.
A and B throw a pair of dice alternately. A wins the game if he gets a total of 9 and B wins if he gets a total of 7. If A starts the game, find the probability of winning the game by B.
Show that the equation of normal at any point t on the curve x = 3 cos t – cos³t and y = 3 sin t – sin³t is 4(y cos2t – x sin³t) = 3 sin 4t