4.22.10 $2y^{\prime }(x{)}^3+y^{\prime }(x{)}^2-y(x)=0$

ODE
$$2y^{\prime }(x{)}^3+y^{\prime }(x{)}^2-y(x)=0$$ 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 = 0.094 (sec), leaf count = 412

$$\{x-{\int }^{y\left(x\right)}6\frac{\sqrt[3]{3}\sqrt[3]{\sqrt{3}(54\sqrt{3}\mathit{\_}\mathit{a}-\sqrt{3}+18\sqrt{27{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}})}}{3^{2/3}-\sqrt[3]{3}\sqrt[3]{\sqrt{3}(54\sqrt{3}\mathit{\_}\mathit{a}-\sqrt{3}+18\sqrt{27{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}})}+{\left(\sqrt{3}(54\sqrt{3}\mathit{\_}\mathit{a}-\sqrt{3}+18\sqrt{27{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}})\right)}^{2/3}}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}12\frac{\sqrt[3]{3}\sqrt[3]{\sqrt{3}(54\sqrt{3}\mathit{\_}\mathit{a}-\sqrt{3}+18\sqrt{27{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}})}}{(i\sqrt{3}-1)(i/23^{5/6}+\sqrt[3]{\sqrt{3}(54\sqrt{3}\mathit{\_}\mathit{a}-\sqrt{3}+18\sqrt{27{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}})}-1/2\sqrt[3]{3})(\sqrt[3]{\sqrt{3}(54\sqrt{3}\mathit{\_}\mathit{a}-\sqrt{3}+18\sqrt{27{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}})}+\sqrt[3]{3})}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,x-{\int }^{y\left(x\right)}24\frac{\sqrt[3]{3}\sqrt[3]{\sqrt{3}(54\sqrt{3}\mathit{\_}\mathit{a}-\sqrt{3}+18\sqrt{27{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}})}}{(i\sqrt{3}+1)(i{3}^{5/6}+\sqrt[3]{3}-2\sqrt[3]{\sqrt{3}(54\sqrt{3}\mathit{\_}\mathit{a}-\sqrt{3}+18\sqrt{27{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}})})(\sqrt[3]{\sqrt{3}(54\sqrt{3}\mathit{\_}\mathit{a}-\sqrt{3}+18\sqrt{27{\mathit{\_}\mathit{a}}^2-\mathit{\_}\mathit{a}})}+\sqrt[3]{3})}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,y\left(x\right)=0\}$$ Mathematica raw input

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

Mathematica raw output

""

Maple raw input

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

Maple raw output

y(x) = 0, x-Intat(6*3^(1/3)/(3^(2/3)-3^(1/3)*(3^(1/2)*(54*3^(1/2)*_a-3^(1/2)+18*
(27*_a^2-_a)^(1/2)))^(1/3)+(3^(1/2)*(54*3^(1/2)*_a-3^(1/2)+18*(27*_a^2-_a)^(1/2)
))^(2/3))*(3^(1/2)*(54*3^(1/2)*_a-3^(1/2)+18*(27*_a^2-_a)^(1/2)))^(1/3),_a = y(x
))-_C1 = 0, x-Intat(24*3^(1/3)/(I*3^(1/2)+1)/(I*3^(5/6)+3^(1/3)-2*(3^(1/2)*(54*3
^(1/2)*_a-3^(1/2)+18*(27*_a^2-_a)^(1/2)))^(1/3))/((3^(1/2)*(54*3^(1/2)*_a-3^(1/2
)+18*(27*_a^2-_a)^(1/2)))^(1/3)+3^(1/3))*(3^(1/2)*(54*3^(1/2)*_a-3^(1/2)+18*(27*
_a^2-_a)^(1/2)))^(1/3),_a = y(x))-_C1 = 0, x-Intat(12*3^(1/3)*(3^(1/2)*(54*3^(1/
2)*_a-3^(1/2)+18*(27*_a^2-_a)^(1/2)))^(1/3)/(I*3^(1/2)-1)/(1/2*I*3^(5/6)+(3^(1/2
)*(54*3^(1/2)*_a-3^(1/2)+18*(27*_a^2-_a)^(1/2)))^(1/3)-1/2*3^(1/3))/((3^(1/2)*(5
4*3^(1/2)*_a-3^(1/2)+18*(27*_a^2-_a)^(1/2)))^(1/3)+3^(1/3)),_a = y(x))-_C1 = 0