Q. 45.0( 2 Votes )
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,
(Substituting equation 1 in this equation)
This is the required differential equation.
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