Form the differential equation not containing the arbitrary constants and satisfied by the equation `y=a e^(b x),aa n db` are arbitrary constants.

Form the differential equation not containing the arbitrary constants and satisfied by the equation y=ae^(bx),a and b are arbitrary constants.

Form the differential equations not containing the arbitrary constants and satisfied by the equations: y=ae^(bx) , a and b arbitrary constants.

Form the differential equations not containing the arbitrary constants and satisfied by the equations: ay^2=(x-c)^3 , c being an arbitrary constant.

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation: y=asin(x+b), a and b are arbitrary constants.

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation: y=asin(mx+b) , a and b are arbitrary constants.

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation: y=acos(mx+b), a,b are arbitrary constants.