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Find the differential equation of y = sin(bx + c), b and c being parameters.

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Find the differential equation of y = sin(bx + c), b and c being parameters.

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Best answer

y = sin(bx + c)

y' = bcos(bx + c)

y'' = – b2 sin (bx + c)

= – b2 y 

which is the required differential equation.

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