Calculus Differential Equations Mock Tests

The solution of the differential equation dy/dx + y*tan(x) = sin(2x) at x = pi/2, given that y = 0 at x = 0, is

The number of solutions of the differential equation (dy/dx) - y = e^x · y^2 with y(0) = 1 is:

The solution of the differential equation (dy/dx) + y·tan x = cos² x, given that y(0) = 0, passes through the point:

The curve passing through (1, 1) and orthogonal to every curve in the family y = cx^2 for all c in R is

The number of solutions of the differential equation (dy/dx) - y·sec(x) = cos(x) with y(0) = 1 in the interval [0, π/2] is:

The solution of the differential equation dy/dx + y·cos(x) = cos(x) with y(0) = 2 is:

The general solution of the differential equation (2x + y) dx + (x + 2y) dy = 0 is: