Form differential equation for `y=mx+c`

Form differential equation for y=A log x+B

Form differential equation for y=ax^(x)

Form differential equation for y=Ax^(2)+b

Form differential equation for Ax+By+C=0

Form differential equation for (x)/(a)+(y)/(b)=1

Form the differential equation from the following primitives where constants are arbitrary: y=cx+2c^(2)+c^(3)

Form the differential equation of family of curves y=mx where m is arbitrary constant.

Form the differential equation of the family of curves y=a sin(bx+c), a and c being equation of second order.