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Exercise

dydxy=(x2+10)2(x3+3)3\frac{dy}{dx}y=\left(x^2+10\right)^2\left(x^3+3\right)^3

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Final answer to the exercise

12y2=x1414+9x1111+27x88+27x55+53x12+20x9+90x6+180x3+10x10+900x77+675x4+2700x+C0\frac{1}{2}y^2=\frac{x^{14}}{14}+\frac{9x^{11}}{11}+\frac{27x^{8}}{8}+\frac{27x^{5}}{5}+\frac{5}{3}x^{12}+20x^{9}+90x^{6}+180x^{3}+10x^{10}+\frac{900x^{7}}{7}+675x^{4}+2700x+C_0

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dydx y=(x2+10)2(x3+3)3
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