Suppose that for some angles `xa n dy ,` the equations `sin^2x+cos^2y=(3a)/2a n dcos^2x+sin^2y=(a^2)/2` hold simultaneously. the possible value of `a` is ___________

Suppose that for some angles x and y, the equations sin^(2)x+cos^(2)y=(3a)/(2) and cos ^(2)x+sin^(2)y=(a^(2))/(2) hold simultaneously.the possible value of a is

Suppose that for some angles x and y the equations sin^(2)x+cos^(2)y=(3a)/(2) , cos^(2)x+sin^(2)y=(a^(2))/(2) hold simultaneously then the value of cos2x-cos2y equals (A) a (B) 2-a (C) 3a-2 (D) 2a-3

Solve the equation (dy)/(dx)+x sin2y=x^(3)cos^(2)y

Prove that for all real values of xa n dy ,x^2+2x y+3y^2-6x-2ygeq-11.

The values of k,for which the system of equations cos x cos2y=(k^(2)-4)^(2)+1 and sin x sin2y=k+2 holds,is (are) given by

Solve the differential equation sin x(dy)/(dx)+y cos x=2sin^(2)x cos x

Solve the following differential equations. (dy)/(dx)+x sin 2y=x^(3)cos^(2)y

Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot

Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot

Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot