TS EAMCET · Maths · Differential Equations
The differential equation of the simple harmonic motion given by \(x=A \cos (n t+\alpha)\) is
- A \(\frac{d^2 x}{d t^2}-n^2 x=0\)
- B \(\frac{d^2 x}{d t^2}+n^2 x=0\)
- C \(\frac{d x}{d t}-\frac{d^2 x}{d t^2}=0\)
- D \(\frac{d^2 x}{d t^2}-\frac{d x}{d t}+n x=0\)
Answer & Solution
Correct Answer
(B) \(\frac{d^2 x}{d t^2}+n^2 x=0\)
Step-by-step Solution
Detailed explanation
Given, \(x=A \cos (n t+\alpha)\) On differentiating \(x\) w.r.t. ' \(t\) ', we get…
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