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2.745   ODE No. 745

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

y′(x)=(y(x)log⁡(x)−1)3x(−y(x)+y(x)log⁡(x)−1) ✓ Mathematica : cpu = 11.3678 (sec), leaf count = 546

Solve[∫1y(x)(log⁡(x)K[1]−K[1]−1log3⁡(x)K[1]3+log⁡(x)K[1]3−K[1]3−3log2⁡(x)K[1]2−K[1]2+3log⁡(x)K[1]−1+RootSum[K[1]3−#1K[1]2−#13&,K[1]log⁡(K[1]log⁡(x)−#1−1)−log⁡(K[1]log⁡(x)−#1−1)#1K[1]2+3#12&]+RootSum[K[1]3−#1K[1]2−#13&,4log⁡(x)K[1]3−4log⁡(x)log⁡(K[1]log⁡(x)−#1−1)K[1]3−12log⁡(K[1]log⁡(x)−#1−1)K[1]3+12K[1]3+4log⁡(K[1]log⁡(x)−#1−1)K[1]2+5log⁡(x)#1K[1]2−5log⁡(x)log⁡(K[1]log⁡(x)−#1−1)#1K[1]2+16log⁡(K[1]log⁡(x)−#1−1)#1K[1]2−16#1K[1]2−12log⁡(x)#12K[1]+12log⁡(x)log⁡(K[1]log⁡(x)−#1−1)#12K[1]+5log⁡(K[1]log⁡(x)−#1−1)#12K[1]−5#12K[1]+5log⁡(K[1]log⁡(x)−#1−1)#1K[1]−12log⁡(K[1]log⁡(x)−#1−1)#1228log⁡(x)K[1]3−9K[1]3−27log⁡(x)#1K[1]2−19#1K[1]2−28K[1]2+9log⁡(x)#12K[1]+27#12K[1]+27#1K[1]−9#12&]K[1])dK[1]−y(x)RootSum[−#13−#1y(x)2+y(x)3&,y(x)log⁡(−#1+y(x)log⁡(x)−1)−#1log⁡(−#1+y(x)log⁡(x)−1)3#12+y(x)2&]−log⁡(x)=c1,y(x)] ✓ Maple : cpu = 0.275 (sec), leaf count = 78

{y(x)=47RootOf(−27783∫_Z(2209_a3−9261_a+9261)−1d_a−7ln⁡(x)+3_C1)−84(47ln⁡(x)−47)RootOf(−27783∫_Z(2209_a3−9261_a+9261)−1d_a−7ln⁡(x)+3_C1)−84ln⁡(x)+21}

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