4.21.46 $y^{\prime }(x{)}^3+y^{\prime }(x{)}^2-y(x)=0$

ODE
$$y^{\prime }(x{)}^3+y^{\prime }(x{)}^2-y(x)=0$$ ODE Classification

[_quadrature]

Book solution method
Missing Variables ODE, Independent variable missing, Solve for $y$

Mathematica ✗
cpu = 0 (sec), leaf count = 0 , crash

Kernel Crash

Maple ✓
cpu = 0.103 (sec), leaf count = 436

$$\{x-{\int }^{y\left(x\right)}3\frac{\sqrt[3]{6}\sqrt[3]{\sqrt{3}(27\sqrt{3}\mathit{\_}\mathit{a}-2\sqrt{3}+9\sqrt{27{\mathit{\_}\mathit{a}}^2-4\mathit{\_}\mathit{a}})}}{6^{2/3}-\sqrt[3]{6}\sqrt[3]{\sqrt{3}(27\sqrt{3}\mathit{\_}\mathit{a}-2\sqrt{3}+9\sqrt{27{\mathit{\_}\mathit{a}}^2-4\mathit{\_}\mathit{a}})}+{\left(\sqrt{3}(27\sqrt{3}\mathit{\_}\mathit{a}-2\sqrt{3}+9\sqrt{27{\mathit{\_}\mathit{a}}^2-4\mathit{\_}\mathit{a}})\right)}^{2/3}}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}6\frac{\sqrt[3]{3}\sqrt[3]{2}\sqrt[3]{\sqrt{3}(27\sqrt{3}\mathit{\_}\mathit{a}-2\sqrt{3}+9\sqrt{27{\mathit{\_}\mathit{a}}^2-4\mathit{\_}\mathit{a}})}}{(i\sqrt{3}-1)(\sqrt[3]{3}\sqrt[3]{2}+\sqrt[3]{\sqrt{3}(27\sqrt{3}\mathit{\_}\mathit{a}-2\sqrt{3}+9\sqrt{27{\mathit{\_}\mathit{a}}^2-4\mathit{\_}\mathit{a}})})((i/23^{5/6}-1/2\sqrt[3]{3})\sqrt[3]{2}+\sqrt[3]{\sqrt{3}(27\sqrt{3}\mathit{\_}\mathit{a}-2\sqrt{3}+9\sqrt{27{\mathit{\_}\mathit{a}}^2-4\mathit{\_}\mathit{a}})})}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}12\frac{\sqrt[3]{3}\sqrt[3]{2}\sqrt[3]{\sqrt{3}(27\sqrt{3}\mathit{\_}\mathit{a}-2\sqrt{3}+9\sqrt{27{\mathit{\_}\mathit{a}}^2-4\mathit{\_}\mathit{a}})}}{(i\sqrt{3}+1)(\sqrt[3]{3}\sqrt[3]{2}+\sqrt[3]{\sqrt{3}(27\sqrt{3}\mathit{\_}\mathit{a}-2\sqrt{3}+9\sqrt{27{\mathit{\_}\mathit{a}}^2-4\mathit{\_}\mathit{a}})})(-2\sqrt[3]{\sqrt{3}(27\sqrt{3}\mathit{\_}\mathit{a}-2\sqrt{3}+9\sqrt{27{\mathit{\_}\mathit{a}}^2-4\mathit{\_}\mathit{a}})}+(i{3}^{5/6}+\sqrt[3]{3})\sqrt[3]{2})}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,y\left(x\right)=0\}$$ Mathematica raw input

DSolve[-y[x] + y'[x]^2 + y'[x]^3 == 0,y[x],x]

Mathematica raw output

""

Maple raw input

dsolve(diff(y(x),x)^3+diff(y(x),x)^2-y(x) = 0, y(x),'implicit')

Maple raw output

y(x) = 0, x-Intat(3*6^(1/3)/(6^(2/3)-6^(1/3)*(3^(1/2)*(27*3^(1/2)*_a-2*3^(1/2)+9
*(27*_a^2-4*_a)^(1/2)))^(1/3)+(3^(1/2)*(27*3^(1/2)*_a-2*3^(1/2)+9*(27*_a^2-4*_a)
^(1/2)))^(2/3))*(3^(1/2)*(27*3^(1/2)*_a-2*3^(1/2)+9*(27*_a^2-4*_a)^(1/2)))^(1/3)
,_a = y(x))-_C1 = 0, x-Intat(12*3^(1/3)*2^(1/3)*(3^(1/2)*(27*3^(1/2)*_a-2*3^(1/2
)+9*(27*_a^2-4*_a)^(1/2)))^(1/3)/(I*3^(1/2)+1)/(3^(1/3)*2^(1/3)+(3^(1/2)*(27*3^(
1/2)*_a-2*3^(1/2)+9*(27*_a^2-4*_a)^(1/2)))^(1/3))/(-2*(3^(1/2)*(27*3^(1/2)*_a-2*
3^(1/2)+9*(27*_a^2-4*_a)^(1/2)))^(1/3)+(I*3^(5/6)+3^(1/3))*2^(1/3)),_a = y(x))-_
C1 = 0, x-Intat(6*3^(1/3)*2^(1/3)*(3^(1/2)*(27*3^(1/2)*_a-2*3^(1/2)+9*(27*_a^2-4
*_a)^(1/2)))^(1/3)/(I*3^(1/2)-1)/(3^(1/3)*2^(1/3)+(3^(1/2)*(27*3^(1/2)*_a-2*3^(1
/2)+9*(27*_a^2-4*_a)^(1/2)))^(1/3))/((1/2*I*3^(5/6)-1/2*3^(1/3))*2^(1/3)+(3^(1/2
)*(27*3^(1/2)*_a-2*3^(1/2)+9*(27*_a^2-4*_a)^(1/2)))^(1/3)),_a = y(x))-_C1 = 0