2.532   ODE No. 532

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

$$a{y}^{\prime }(x{)}^3+b{y}^{\prime }(x{)}^2+c{y}^{\prime }(x)-d-y(x)=0$$ ✗ Mathematica : cpu = 300.006 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.293 (sec), leaf count = 874

$$\{x-{\int }^{y\left(x\right)}-12\sqrt[3]{6}a\sqrt[3]{12\sqrt{3}\sqrt{27{(d+\mathit{\_}\mathit{a})}^2{a}^2+18c((d+\mathit{\_}\mathit{a})b+2/9c^2)a+(-4d-4\mathit{\_}\mathit{a})b^3-b^2{c}^2}a+(108d+108\mathit{\_}\mathit{a})a^2+36abc-8b^3}{((1-i\sqrt{3})\sqrt[3]{6}{(12\sqrt{3}\sqrt{27{(d+\mathit{\_}\mathit{a})}^2{a}^2+18c((d+\mathit{\_}\mathit{a})b+2/9c^2)a+(-4d-4\mathit{\_}\mathit{a})b^3-b^2{c}^2}a+(108d+108\mathit{\_}\mathit{a})a^2+36abc-8b^3)}^{2/3}-12(1+i\sqrt{3})(ac-1/3b^2)\sqrt[3]{6}+8b\sqrt[3]{27}\sqrt[3]{(1/3\sqrt{27{(d+\mathit{\_}\mathit{a})}^2{a}^2+18c((d+\mathit{\_}\mathit{a})b+2/9c^2)a+(-4d-4\mathit{\_}\mathit{a})b^3-b^2{c}^2}a+((d+\mathit{\_}\mathit{a})a^2+1/3abc-\frac{2b^3}{27})\sqrt{3})\sqrt{3}})}^{-1}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}-12\sqrt[3]{6}a\sqrt[3]{12\sqrt{3}\sqrt{27{(d+\mathit{\_}\mathit{a})}^2{a}^2+18c((d+\mathit{\_}\mathit{a})b+2/9c^2)a+(-4d-4\mathit{\_}\mathit{a})b^3-b^2{c}^2}a+(108d+108\mathit{\_}\mathit{a})a^2+36abc-8b^3}{((1+i\sqrt{3})\sqrt[3]{6}{(12\sqrt{3}\sqrt{27{(d+\mathit{\_}\mathit{a})}^2{a}^2+18c((d+\mathit{\_}\mathit{a})b+2/9c^2)a+(-4d-4\mathit{\_}\mathit{a})b^3-b^2{c}^2}a+(108d+108\mathit{\_}\mathit{a})a^2+36abc-8b^3)}^{2/3}+12(ac-1/3b^2)(-1+i\sqrt{3})\sqrt[3]{6}+8b\sqrt[3]{27}\sqrt[3]{(1/3\sqrt{27{(d+\mathit{\_}\mathit{a})}^2{a}^2+18c((d+\mathit{\_}\mathit{a})b+2/9c^2)a+(-4d-4\mathit{\_}\mathit{a})b^3-b^2{c}^2}a+((d+\mathit{\_}\mathit{a})a^2+1/3abc-\frac{2b^3}{27})\sqrt{3})\sqrt{3}})}^{-1}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}6\sqrt[3]{6}a\sqrt[3]{12\sqrt{3}\sqrt{27{(d+\mathit{\_}\mathit{a})}^2{a}^2+18c((d+\mathit{\_}\mathit{a})b+2/9c^2)a+(-4d-4\mathit{\_}\mathit{a})b^3-b^2{c}^2}a+(108d+108\mathit{\_}\mathit{a})a^2+36abc-8b^3}{(\sqrt[3]{6}{(12\sqrt{3}\sqrt{27{(d+\mathit{\_}\mathit{a})}^2{a}^2+18c((d+\mathit{\_}\mathit{a})b+2/9c^2)a+(-4d-4\mathit{\_}\mathit{a})b^3-b^2{c}^2}a+(108d+108\mathit{\_}\mathit{a})a^2+36abc-8b^3)}^{2/3}-12\sqrt[3]{6}ac+4\sqrt[3]{6}{b}^2-4b\sqrt[3]{27}\sqrt[3]{(1/3\sqrt{27{(d+\mathit{\_}\mathit{a})}^2{a}^2+18c((d+\mathit{\_}\mathit{a})b+2/9c^2)a+(-4d-4\mathit{\_}\mathit{a})b^3-b^2{c}^2}a+((d+\mathit{\_}\mathit{a})a^2+1/3abc-\frac{2b^3}{27})\sqrt{3})\sqrt{3}})}^{-1}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$