Verify that \( y=a e^{b x} \) is a solution of the differential equ...

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Verify that \( y=a e^{b x} \) is a solution of the differential equation \( \frac{d^{2} y}{d x^{2}}=\frac{1}{y}\left(\frac{d y}{d x}\right)^{2} \).
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