Q4 of 68 Page 910

Form the differential equation of the family of curves x=A cos nt+ Bsin nt, where A and B are arbitrary constants.

Equation of the family of curves, x=A cos nt+ Bsin nt, where A and B are arbitrary constants.

Differentiating the above equation with respect to t on both sides, we have,


(1)




(Substituting equation 1 in this equation)




This is the required differential equation.


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