This is an MCQ-based quiz on Differential Equations.
This includes Order, Degree, Linear Equations, and Homogenous Equations.
The radius of a circle is increasing at the rate of 0.4 cm/ s. The rate of increasing of its circumference is
Solution of the differential equation tan y sec² x dx + tan x sec² y dy + 0 is .
Which of the following is a second order differential equation?
Solution of differential equation xdy – ydx = Q represents
A rectangular hyperbola
Parabola whose vertex is at origin
Straight line passing through origin
A circle whose centre is at origin
The number of arbitrary constants in the general solution of a differential equation of fourth order is:
The number of arbitrary constants in the particular solution of a differential equation of third order is:
Which of the following is a homogeneous differential equation?
The general solution of the differential equation dy / dx = e^(x+y) is
The integrating factor of the differential equation x(dy / dx) – y = 2x² is
The curve for which the slope of the tangent at any point is equal to the ratio of the abcissa to the ordinate of the point is
Which of the following is the general solution of d^2y / dx^2 – 2*dy/dx + y = 0
Integrating factor of the differential equation dy/dx + y tan x – sec x = 0 is