Find the derivative of `y` with respect to `x,` when `y=(3+mu)/(2+mu),` where `mu = sin^-1 x,`

Find the angle between vecr=(1+2mu)i+(2+mu)j+(2mu-1)k and the plane 3x-2y+6z=0 (where mu is a scalar)

The abscissa of any points on the parabola y^(2)=4ax are in the ratio mu:1. If the locus of the point of intersection at these two points is y^(2)=(mu^((1)/(lambda))+mu^(-(1)/(lambda)))^(2) ax.Then find lambda

If ""_(x) mu_(y) represents the refractive index when a ray of light goes from medium x to medium y , then the product ""_(2) mu_(1) xx ""_(3) mu_(2) xx ""_(4) mu_(3) is equal to

The refractive indices of three media 1,2 and 3 and mu_(1),mu_(2) and mu_(3) respectively (mu_(1) gt mu_(2) gt mu_(3)) . Which of the following statements are correct?

Find the values of lamda and mu if both the roots of the equation (3lamda+1)x^(2)=(2lamda+3mu)x-3 are infinite.

A curve y=f(x) passes through (1,1) and tangent at P(x,y) on it cuts x- axis and y-axis at A and B respectively such that BP:AP=3:1 then the differential equation of such a curve is lambda xy'+mu y=0 where ( mu + lambda -lambda^(2) ) / (mu - 2 lambda) is . Where mu and lambda are relatively prime natural

If mu=u^y then find mu_(uy)

Verify that the function y = 2lambda x + (mu)/(x) where lambda, mu are arbitary constants is a solution of the differential equation x^(2)y'' + xy' - y = 0 .

Verify that the function y = lambda x + (mu)/(x) where lambda, mu are arbitary constants is a solution of the differential equation x^(2)y'' + xy' - y = 0 .