" 1) "y=c(x-c)^(2)

Find the order of the differential equation corresponding to y=c(x-c)^(2) , where c is an arbitrary constant.

Find the order of the differential equation of the following faimily of curves where parameters are given in brackets . y=c(x-c)^(2),(c )

Find the order of the differential equation corresponding to (i) y = c(x-c)^(2) where c is an arbitrary constant. (ii) y = Ae^(x) + Be^(3x) + Ce^(5x) where A, B, C are arbitrary constant. (iii) xy = c e^(x) + b e^(-x) + x^(2) where b, c are arbitrary constants. (iv) The family of all circles in the xy-plane with centre at the origin.

Form the differential equations of the following families of curves by elimnating the parameters (arbitrary constants) given against them in the brackets. (i) y = c(x-c)^(2), (c) (ii) xy = a e^(x) + b e^(-x), (a, b) (iii) y = (a+bx)e^(Kx), (a,b) (iv) y = a cos (nx + b), (a,b) (v) = y = a e^(3x) + be^(4x), (a,b) (vi) y = ax^(2) + bx, (a,b) (vii) ax^(2) + by^(2) = 1 (a,b)

The order & the degree of the differential equation whose general solution is,y=c(x-c)^(2), are respectively

The order & the degree of the differential equation whose general solution is, y =c(x-c)^2 , are respectively

Find the differential equation corresponding to the family of curves y=c(x-c)^2 where c is an arbitrary constant.

The solution of the differential equation x""(dy)/(dx)+2y=x^(2) is :a) y=(x^(2)+c)/(4x^(2)) b) y=x^(2)/4+c c) y=(x^(4)+c)/(x^(2)) d) y=(x^(4)+c)/(4x^(2))