Home
Class 12
MATHS
A curve y=f(x) satisfy the differential ...

A curve y=f(x) satisfy the differential equation `(1+x^(2))(dy)/(dx)+2yx=4x^(2)` and passes through the origin.
The function y=f(x)

A

is strictly increasing , `AA x in R`

B

is such that it has a minima but no maxima

C

is such that it has a maxima but no minima

D

has no inflection point

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

A curve y=f(x) satisfy the differential equation (1+x^(2))(dy)/(dx)+2yx=4x^(2) and passes through the origin. The area enclosed by y=f^(-1)(x), the x-axis and the ordinate at x=2//3 is

The differential equation x(dy)/(dx)+(3)/((dy)/(dx))=y^(2)

The curve satisfying the differential equation (dy)/(dx)=(y(x+y^(3)))/(x(y^(3)-x)) and passing through (4,-2) is

Solve the differential equation (dy)/(dx)=(2y-6x-4)/(y-3x+3).

A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(dx))-y^2=0 passes through the point (1,3) Then the solution curve is

The Integrating Factor of the differential equation x (dy)/(dx) - y = 2x^(2) is

Solve the differential equation (dy)/(dx)=(x+2y-1)/(x+2y+1).

The order of the differential equation 2x^(2) (d^(2)y)/(dx^(2))-3(dy)/(dx) + y = 0 is

Find the general solution of the differential equation x (dy)/(dx) + 2y = x^(2)(x ne 0) .

Solve the differential equation (tan^(-1)y - x)dy = ( 1 + y^(2))dx .