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Question Number 1352 by 112358 last updated on 24/Jul/15
$${Solve}\:{the}\:{following}\:{DE}\:: \\ $$$${y}\frac{{dy}}{{dx}}+\mathrm{6}{x}+\mathrm{5}{y}=\mathrm{0}\:\:\:\:\:\left({x}\neq\mathrm{0},{y}\neq\mathrm{0}\right) \\ $$
Answered by imhunter last updated on 27/Jul/15
$${q}.{no}.\mathrm{1352}\:\:\:\:\:\:\:\:\:\:\:{y}\:{dy}/{dx}=−\mathrm{6}{x}−\mathrm{5}{y} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$${ydy}/−\mathrm{5}{y}=−\mathrm{6}{xdx} \\ $$$${on}\:{integrating}\:{both}\:{sides} \\ $$$${y}=\mathrm{3}{x}^{\mathrm{2}\:} +{c} \\ $$