ODE No. 132

3.132 ODE No. 132

$3 x \frac{d}{d x} y (x) - 3 x \ln (x) {(y (x))}^{4} - y (x) = 0$

Mathematica: cpu = 0.011001 (sec), leaf count = 115 ${{y (x) \to \frac{(- 2)^{2 / 3} \sqrt[3]{x}}{\sqrt[3]{4 c_{1} + 3 x^{2} - 6 x^{2} \log (x)}}}, {y (x) \to \frac{2^{2 / 3} \sqrt[3]{x}}{\sqrt[3]{4 c_{1} + 3 x^{2} - 6 x^{2} \log (x)}}}, {y (x) \to - \frac{\sqrt[3]{- 1} 2^{2 / 3} \sqrt[3]{x}}{\sqrt[3]{4 c_{1} + 3 x^{2} - 6 x^{2} \log (x)}}}}$

Maple: cpu = 0.031 (sec), leaf count = 234 ${y (x) = \frac{1}{6 x^{2} \ln (x) - 3 x^{2} - 4_C 1} \sqrt[3]{- 4 x {(6 x^{2} \ln (x) - 3 x^{2} - 4_C 1)}^{2}}, y (x) = - \frac{1}{12 x^{2} \ln (x) - 6 x^{2} - 8_C 1} \sqrt[3]{- 4 x {(6 x^{2} \ln (x) - 3 x^{2} - 4_C 1)}^{2}} - \frac{\frac{i}{2} \sqrt{3}}{6 x^{2} \ln (x) - 3 x^{2} - 4_C 1} \sqrt[3]{- 4 x {(6 x^{2} \ln (x) - 3 x^{2} - 4_C 1)}^{2}}, y (x) = - \frac{1}{12 x^{2} \ln (x) - 6 x^{2} - 8_C 1} \sqrt[3]{- 4 x {(6 x^{2} \ln (x) - 3 x^{2} - 4_C 1)}^{2}} + \frac{\frac{i}{2} \sqrt{3}}{6 x^{2} \ln (x) - 3 x^{2} - 4_C 1} \sqrt[3]{- 4 x {(6 x^{2} \ln (x) - 3 x^{2} - 4_C 1)}^{2}}}$

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