Home
Class 12
MATHS
The differential equation for which sin^...

The differential equation for which `sin^(-1) x + sin^(-1) y = c` is given by

A

`sqrt(1-x^2) dx + sqrt(1-y^2) dy=0`

B

`sqrt(1-x^2)dy + sqrt(1-y^2)dx=0`

C

`sqrt(1-x^2) dy - sqrt(1-y^2) dx = 0`

D

`sqrt(1-x^2) dx - sqrt(1-y^2) dy = 0 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The differential equation whose solution is y=A sin x + B cos x , is

The differential cofficient of a^(sin^(-1)x)w.r.t sin^(-1)x is -

The differential equation whose solution is y=c_1 cos ax + c_2 sin ax is

Form the differential equation having y=(sin^(-1)x)^2+Acos^(-1)x+B ,where A and B are arbitrary constants, as its general solution.

The solution of the differential equation (sin x + cos x) dy + (cos x-sin x)dx = 0 is-

The differential equation whose solution is y=c_1 cos ax+c_2 sin ax is (Where c_1,c_2 are arbitrary constants)

Solve the following differential equations.(2) x sin x dy/dx+(x cos x+sin x)y=sin x

Find the general solutions of the following differential equations. x sin x dy/dx+(x cos x+sin x)y=sin x

Write the order of the differential equation whose solution is y=acosx+b sin x+c e^(-x)

Show that the general solution of all the differential equation dy/dx+(y^2+y+1)/(x^2+x+1)=0 is given by (x+y+1)=c(1-x-y-2xy) .