Equation of the curve in which the subnormal is twice the square of the ordinate is given by

l o g y = 2 x + l o g c

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y = c e^{2 x}

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l o g y = 2 x - l o g c

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None of these

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Solution

The correct options are
A $l o g y = 2 x + l o g c$
B $y = c e^{2 x}$
C $l o g y = 2 x - l o g c$

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Similar questions

If $a^{2} = l o g x$ , $b^{3} = l o g y$ and $\frac{a^{2}}{2} - \frac{b^{3}}{3} = l o g c$ , find c in terms of $x$ and $y$ .

y = c e^{x / a}

y

P (x, y) (x y > 0)

y = \frac{x^{2}}{2} + \frac{1}{2} x \sqrt{x^{2} + 1} + ln \sqrt{x + \sqrt{x^{2} + 1}}

x y^{'} + log y^{'}

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