Find the solution of
Find the differential equation of all non-vertical lines in a plane
Given that and y = 0 when x = 5.
Find the value of x when y = 3.
Solve the differential equation
Find the general solution of
Solve: ydx – xdy = x2ydx
Solve the differential equation when y = 0, x = 0.
Find the general solution of (x + 2y3)
If y(x) is a solution of and y(0) = 1, then find the value of
If y(t) is a solution of and y(0) = –1, then show that
Form the differential equation having y = (sin–1x)2 + A cos–1x + B, where A and B are arbitrary constant, as its general solution.
Form the differential equation of all circles which pass through origin and whose centres lie on y-axis
Find the equation of a curve passing through origin and satisfying the differential equation
Solve:
Find the general solution of the differential equation (1 + y2) + (x – etan–1y)
Find the general solution of y2dx + (x2 – xy + y2) dy = 0.
Solve: (x + y) (dx – dy) = dx + dy. [Hint: Substitute x + y = z after separating dx and dy].
Solve: given that y (1) = –2
Solve the differential equation dy = cosx(2 – y cosec x) dx given that y = 2 when
Form the differential equation by eliminating A and B in Ax2 + By2 = 1
Solve the differential equation (1+ y2) tan-1x dx + 2y (1 + x2) dy = 0
Find the differential equation of system of concentric circles with centre (1, 2).
Find the general solution of (1 + tany) (dx – dy) + 2xdy = 0.
Solve: [Hint: Substitute x + y = z]
Find the equation of a curve passing through (2, 1) if the slope of the tangent to the curve at any point (x, y) is
Find the equation of the curve through the point (1, 0) if the slope of the tangent to the curve any point (x, y) is
Find the equation of a curve passing through origin if the slope of the tangent to the curve at any point (x, y) is equal to the square of the difference of the abscissa and ordinate of the point.
Find the equation of a curve passing through the point (1, 1). If the tangent drawn at any point P(x,y) on the curve meets the co-ordinate axes at A and B such that P is the mid-point of AB.
The degree of the differential equation is:
The order and degree of the differential equation respectively, are
If y = e-x (A cos x + B sin x), then y is a solution of
The differential equation for where A and B are arbitrary constants is
Solution of differential equation xdy – ydx = 0 represents:
Integrating factor of the differential equation is:
Solution of the differential equation t any sec2x dx + tanx sec2 ydy = 0 is:
Family y = Ax + A3 of curves is represented by the differential equation of degree:
Integrating factor of is:
Solution of is given by
The number of solutions of when y(1) = 2 is:
Which of the following is a second order differential equation?
tan-1x + tan-1 y = c is the general solution of the differential equation:
The differential equation represents:
The general solution of ex cosy dx – ex siny dy = 0 is:
