हिंदी

Which equation is satisfied by \[y=\mathrm{A}\sin x+\mathrm{B}\cos x\]?

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प्रश्न

Which equation is satisfied by \[y=\mathrm{A}\sin x+\mathrm{B}\cos x\]?

विकल्प

  • \[\frac{d^2y}{dx^2}+y=0\]

  • \[\frac{d^2y}{dx^2}+\frac{dy}{dx}=0\]

  • \[\frac{d^2y}{dx^2}-y=0\]

  • \[\frac{dy}{dx}+y=0\]

MCQ
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उत्तर

For this function, \[\frac{d^2y}{dx^2}=-y\]. Adding \[y\] to both sides gives \[\frac{d^2y}{dx^2}+y=0\].

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