If `3ax^(2)=y^(2)(a-x^(6))`, `(dy)/(dx)=?`.

If x^(3)+3x^(2)y-2y^(3)=5, find (dy)/(dx) .

If x^(2) + y^(2) =4 , then y(dy)/(dx)+x =

If xy=ax^(2)+(b)/(x) , then the value of x^(2)(d^(2)y)/(dx^(2))+2x(dy)/(dx) is -

The order of the differential equation 2x^(2) (d^(2)y)/(dx^(2))-3(dy)/(dx) + y = 0 is

If y = sin^(2).(x)/(2) , then (dy)/(dx) =

If y= 3e^(2x)+2e^(3x) , prove that (d^(2)y)/(dx^(2))-5(dy)/(dx)+6y=0 .

If (a+bx)e^((y)/(x))=x , show that, x^(3)(d^(2)y)/(dx^(2))=(x(dy)/(dx)-y)^(2) .

(x+y)^(2)(dy)/(dx)=a^(2)

If y^(3)-y=2x, then (x^(2)-(1)/(27))(d^(2)y)/(dx^(2))+x(dy)/(dx)=

The degree of the differential equation ((d^(2) y)/(dx^(2)))^(2) + (d^(2)y)/(dx^(2)) - ((dy)/(dx))^(4) + (dy)/(dx) + y = 6x^(3) is -