Which of the following is the valid differential equation x = a cos(αt + β)?

(a) d^2x/dt^2 – αx = 0

(b) d^2x/dt^2 + αx = 0

(c) d^2x/dt^2 – α^2x = 0

(d) d^2x/dt^2 + α^2x = 0

This question was addressed to me in a national level competition.

This intriguing question originated from Linear Second Order Differential Equations topic in chapter Differential Equations of Mathematics – Class 12

NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options

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