Find the order of the differential equation corresponding to `y=Ae^x+Be^(2x)+Ce^(3x)` (A,B,C being parameters) is a solution

Find the order of the differential equation corresponding to y=Ae^(x)+Be^(3x)+Ce^(5x) (A, B, C being parameters) is a solution.

Form the differential equation corresponding to y=a x^2+b x+c

Find the differential equation corresponding to xy=ae^(x)+be^(-x) , and an b are parameters.

Find the differential equation corresponding to the equation y=Ae^(2x)+Be^(-x) .

Find the differential equation corresponding to the equation y=Ae^(2x)+Be^(-x) .

Form the differential equation corresponding to y^(2)=a(b-x)(b+x) by eliminating parameters a and b

Form the differential equation from y = Ae^(3x) +Be^(-2x) .

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

From the differential equation corresponding to y^(2) a (b-x) (b + x) by eliminating the parameters a and b .

Form the differential equation corresponding to y^2=a(b-x)(b+x) by eliminating parameters aa n dbdot