Mark the correct alternative in each of the following: The order of the differential equation satisfying is An algebraic equation involving square roots: sqrt(1 - x^4) + sqrt(1 - y^4) = a(x^2 - y^2).

Q13 of 462 Page 22

Mark the correct alternative in each of the following:
The order of the differential equation satisfying is

The given curve is

Since the number of constants in the given curve is 1 i.e. a which is an arbitrary constant.

Also, Number of arbitrary constants in the equation of the curve = Order of the differential equation of the curve.

∴ Order = 1

= (A)

Mark the correct alternative in each of the following:

The solution of the differential equation with y(1) = 1 is given by

Mark the correct alternative in each of the following:

The solution of the differential equation is given by

Mark the correct alternative in each of the following:

The solution of the differential equation y₁y₃ = y₂² is

Mark the correct alternative in each of the following:

The general solution of the differential equation where g(x) is a given function of x, is