Form the differential equation of `y=px+(p)/(sqrt(1+p^(2).`

Find the general solution of the differential equation (dy)/(dx) + sqrt((1 - y^(2))/(1 - x^(2))) = 0 .

Differential equation (dy)/(dx)=f(x)g(x) can be solved by separating variable (dy)/g(y)=f(x)dx. Solution of the differential equation (dy)/(dx)+(1+y^(2))/(sqrt(1-x^(2)))=0 is

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

Form the differential equation of the family of circles touching the y-axis at origin.

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

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

The degree of the differential equation satisfying the relation sqrt(1+x^2) + sqrt(1+y^2) = lambda (x sqrt(1+y^2)- ysqrt(1+x^2)) is

The Integrating Factor of the differential equation (1 - y^(2))(dx)/(dy) + yx = ay (-1 lt y lt 1) is