Solution of differential equation dtdx=t ddxgx- t2gx is

Question

Solution of differential equation

\frac{d t}{d x} = \frac{t (\frac{d}{d x} (g (x))) - t^{2}}{g (x)}

t = \frac{g + c}{x}

t = \frac{g}{x} + c

t = \frac{g}{x + c}

t = g + x + c

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