Continuity and Differentiability
Find dxdy in the following:y=sin−1(1+x21−x2),0<x<1
Find the general solution of each of the following differential equations:
The slope of the tangent to a curve at any point (x,y) on it is given by xy−(cotxy)(cosxy), where x>0 and y>0, and the curve passes through the point (1,4π). Find the equation of the curve.