Question:medium

The differential equation whose general solution is \( y = e^x(A\cos x + B\sin x) \) is

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General solution with \(e^{ax}(\cos bx,\sin bx)\) always corresponds to roots \(a \pm ib\).
Updated On: May 1, 2026
  • \( y'' - 2y' + 2y = 0 \)
  • \( y'' - 2y' - 2y = 0 \)
  • \( y'' + 2y' + 2y = 0 \)
  • \( y'' + 2y' - 2y = 0 \)
  • \( y'' - 2y' + y = 0 \)
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The Correct Option is A

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