Home
Class 12
MATHS
Differential equation of y = sec ( tan^...

Differential equation of `y = sec ( tan^(-1) x) ` is

A

`(1+x^2)(dy)/(dx)=y+x`

B

`(1+x^2)(dy)/(dx)=y-x`

C

`(1+x^2)(dy)/(dx)=xy`

D

`(1+x^2)(dy)/(dx)=x/y`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The differential, coefficient of sec (tan ^(-1) x ) is

The solution of the differential equation (dy)/(dx) = sec x -y tan x is

The integrating factor of linear differential equation (dy)/(dx) + y sec x = tan x is

Differential coefficient of sec(tan^(-1)x) w.r.t x is

The solution of the differential equation dy/dx = -(tan y/tan x) is

The solution of the differential equation cos y log(sec x+tan x)dx=cos x log(sec y+tan y)dy is (a) sec^(2)x+sec^(2)y=c(b)sec x+sec y=c(c)sec x-sec y=c(d)Non of these

The solution of the differential equation sec x dy - "cosec " y dx = 0 is

If. y (x) satisfies the differential equation y' – y tan x = 2x sec x and y (0) = 0, then

What is the general solution of the differential equation e^(x) tan y dx + (1 - e^(x) ) sec^(2) y dy = 0 ?