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
Find the equations of tangents to the curve y = (x²– 1) (x – 2) at the points, where the curve cuts the X-axis.
Solve the following differential equation :
(1 + x²) dy + 2xy dx = cot x dx, (x ≠ 0)
Solve the differential equation + given that y = 1 when x = 1.
Solve the differential equation : given that when x = 0, y =
Let f, g : R → R be two functions defined as f (x) = |x| + x and g (x) = |x| – x for all x ∈ R.Then find fog and gof.