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

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 locus represented by the equation (x-y+c)^(2)+(x+y-c)^(2)=0 is

Which of the following differential equations has y=c_(1)e^(x)+c_(2)e^(-x) as the general solution ?

Which of the following differential equations has y=c_(1)e^(x)+c_(2)e^(-x) as the general solution ?

Which of the following differential equations has y=c_(1)e^(x)+c_(2)e^(-x) as the general solution ?

Form the differential equation of the family of curves represented c(y+c)^(2)=x^(3) where c is a parameter.