1.

The differential equation corresponding to primitive \[y={{e}^{cx}}\]is or                 The elimination of the arbitrary constant m from the equation \[y={{e}^{mx}}\]gives the differential equation [MP PET 1995, 2000; Pb. CET 2000]

A.                 \[\frac{dy}{dx}=\left( \frac{y}{x} \right)\log x\]
B.                 \[\frac{dy}{dx}=\left( \frac{x}{y} \right)\log y\]
C.                 \[\frac{dy}{dx}=\left( \frac{y}{x} \right)\log y\]
D.                 \[\frac{dy}{dx}=\left( \frac{x}{y} \right)\log x\]
Answer» D.                 \[\frac{dy}{dx}=\left( \frac{x}{y} \right)\log x\]


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