Home
Class 12
MATHS
The differential equation having y=(sin^...

The differential equation having `y=(sin^(-1)x)^(2)+A(cos^(-1)x)+B`, where A and B are abitary constant , is

A

`(1-x^(2))y_(2)-xy_(1)=2`

B

`(1-x^(2))y_(2)+yy_(1)=0`

C

`(1-x^(2))y_(2)+xy_(1)=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If the differential equation of the family of curve given by y=Ax+Be^(2x), where A and B are arbitary constants is of the form (1-2x)(d)/(dx)((dy)/(dx)+ly)+k((dy)/(dx)+ly)=0, then the ordered pair (k,l) is

Form the differential equation representing the family of curves y = a sin ( x + b) , where a, b are arbitrary constants.

Solve the following equation: sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

Differentiate the functions x^(sin x) + (sin x)^(cos x)

Form the differential equation, if y^(2)=4a(x+a), where a is arbitary constants.

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

The differential equation which represents the family of curves y=c_(1)e^(c_(2^(x) where c_(1)andc_(2) are arbitary constants is

Verify that the function y = c_(1) e^(ax) cos bx + c_(2)e^(ax) sin bx , where c_(1),c_(2) are arbitrary constants is a solution of the differential equation (d^(2)y)/(dx^(2)) - 2a(dy)/(dx) + (a^(2) + b^(2))y = 0

d/(dx) [e^(Sin^(-1)x+Cos^(-1)x)] = ? (Where |x| le 1 )

The order of the differential equation of family of curves y=C_(1)sin^(-1)x+C_(2)cos^(-1)x+C_(3)tan^(-1)x+C_(4)cot^(-1)x (where C_(1),C_(2),C_(3) and C_(4) are arbitrary constants) is