Differential Eq...

Degree of a differential equation, when the equation is polynomial equation in y ′is

The number of arbitrary constants in the general solution of a differential equation of fourth order are:

For the differential equation xy  = (x+2) (y+2) find the solution curve passing through the point (1, –1).

Differential equation of the family of ellipses having foci on y-axis and centre at origin is

The order of the equation  

The number of arbitrary constants in the particular solution of a differential equation of third order are:

Find the particular solution of the differential equation  log   = 3x+4y, given that y = 0 and x = 0.

Find the equation of a curve passing through the point (0, 0) and whose differential equation is y ′= ex sin x.

The order of the equation  

General solution of  

In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years (loge2 = 0.6931).

Find the equation of a curve passing through the point (0, –2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.

Solution of (x –y) dy –(x + y) dx = 0 is