`(y^(2))/(x^(2))(dx)/(dy)=(y+1)/(x+1)`

(1+x^(2))(dy)/(dx) = 1-y

If y=sin (msin ^(-1) x),then (1-x^(2))(d^(2)y)/(dx^(2))-x( dy)/(dx)=

(dy)/(dx)=(x+y+1)/(2x+2y+3)

(dy)/(dx)=(x+y+1)/(2x+2y+3)

If y=x ln((ax)^(-1)+a^(-1)) prove that x(x+1)(d^(2)y)/(dx^(2))+(dy)/(dx)=y=1

If e^(y)(x+1)=1, show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2) If y=sin(2sin^(-1)x), show that ((1-x^(2))d^(2y))/(dx^(2))=x(dy)/(dx)-4y

(1+x^(2))dy=y^(2)dx

Solution of the differentiable equation ((x+y-1)/(x+y-2))(dy)/(dx)=((x+y+1)/(x+y+2)) when y=1, is

The solution of differential equation x^(2)=1+((x)/(y))^(-1)(dy)/(dx)+(((x)/(y))^(-2)((dy)/(dx))^(2))/(2!)+(((x)/(y))^(-3)((dy)/(dx))^(3))/(3!)