The particular solution of \( \log \frac{\mathrm{d} y}{\mathrm{~d} x}=3 x+4 y, y(0)= \) 0 is (a)...

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The particular solution of \( \log \frac{\mathrm{d} y}{\mathrm{~d} x}=3 x+4 y, y(0)= \) 0 is
(a) \( e^{3 x}+3 e^{-4 y}=4 \)
(b) \( 4 e^{3 x}-e^{-4 \mathrm{y}}=3 \)
(c) \( 3 e^{3 x}+4 e^{4 y}=7 \)
(d) \( 4 e^{3 x}+3 e^{-4 y}=7 \)
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