If `e^y(x+1)=1` . Show that `(d^2y)/(dx^2)=((dy)/(dx))^2`

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

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

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

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

If y=x^(2)e^(x),"show that "(d^(2)y)/(dx^(2))-(dy)/(dx)-2(x+1)e^(x)=0

If y=e^(ax)cos bx, Show that (d^(2)y)/(dx^(2))-2a(dy)/(dx)+(a^(2)+b^(2))y=0

If y=cot x show that (d^(2)y)/(dx^(2))+2y(dy)/(dx)=0

If y=ae^(2x)+be^(-x), show that (d^(2)y)/(dx^(2))-(dy)/(dx)-2y=0

If y=e^(x)sinx, prove that (D^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0 .

"If "y=e^(x+y)" ,show that "(dy)/(dx)=(y)/(1-y)