Find the differential equation corresponding to `y=cx^(3)`, where `c` is arbitrary constant.

Find the differential equation corresponding to y=cx+c-c^(3) , where c is arbitrary constant.

Find the differential equation corresponding to y=cx+c-c^(3) , where c is arbitrary constant.

Find the differential equation corresponding to y=cx+c-c^(3) , where c is arbitrary constant.

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

On finding the differential equation corresponding to y=e^(mx) where m is the arbitrary constant, then m is _________.

The differential equation corresponding to xy=c^(2) where c is an arbitrary constant is ________

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 equation corresponding to y=cx-2c^(2) , where c is a parameter.

Form the differential equation corresponding to y=cx-2c^(2) , where c is a parameter.

Form the differential equation corresponding to y^2=a(b-x)^2 ,where a and b are arbitrary constant.