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Exercise

dydx+4xy(x2+9)=7x(x2+9)4\frac{dy}{dx}+\frac{4xy}{\left(x^2+9\right)}=7x\left(x^2+9\right)^4

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Final answer to the exercise

(x2+9)2y81=1162x14+718x12+212x10+3152x8+28352x6+153092x4+459272x2+C0\frac{\left(x^2+9\right)^{2}y}{81}=\frac{1}{162}x^{14}+\frac{7}{18}x^{12}+\frac{21}{2}x^{10}+\frac{315}{2}x^{8}+\frac{2835}{2}x^{6}+\frac{15309}{2}x^{4}+\frac{45927}{2}x^2+C_0

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dydx +4xy(x2+9) =7x(x2+9)4
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