Establish the differential equation of SHM.

An a.c. source of e.m.f. V_msinwt is connected with a circuit which contains an inductorL, a capacitor C and a resistor R in series. Establish the differential equation of e.m.f and find the total impedance of the series LCR circuit. What is quality factor of the circuit.

What is the differential equation of the family of straight lines parallel to chi -axis?

In a SHM

Find the differential equation of the family of all circles touching the chi -axis at the origin.

Find the differential equation of all straight lines y = mx

Find the differential equation of all parabolas : y^2 = 4ax

A reaction is first order in A and second order in B. Write the differential rate equation.

What is the number of arbitrary constants in the general solution of a differential equation of order 2?

What is the number of arbitrary constants in the particular solution of a differential equation of order 3?