ODE
\[ y'(x)^3+y'(x)=e^{y(x)} \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Independent variable missing, Solve for \(y\)
Mathematica ✗
cpu = 599.998 (sec), leaf count = 0 , timed out
$Aborted
Maple ✓
cpu = 0.176 (sec), leaf count = 261
\[ \left \{ x-\int ^{y \left ( x \right ) }\!6\,{\frac {\sqrt [3]{108\,{{\rm e}^{{\it \_a}}}+12\,\sqrt {12+81\, \left ( {{\rm e}^{{\it \_a}}} \right ) ^{2}}}}{ \left ( 108\,{{\rm e}^{{\it \_a}}}+12\,\sqrt {12+81\, \left ( {{\rm e}^{{\it \_a}}} \right ) ^{2}} \right ) ^{2/3}-12}}{d{\it \_a}}-{\it \_C1}=0,x-\int ^{y \left ( x \right ) }\!-12\,{\frac {\sqrt [3]{108\,{{\rm e}^{{\it \_a}}}+12\,\sqrt {12+81\, \left ( {{\rm e}^{{\it \_a}}} \right ) ^{2}}}}{ \left ( i\sqrt {3}+1 \right ) \left ( \sqrt [3]{108\,{{\rm e}^{{\it \_a}}}+12\,\sqrt {12+81\, \left ( {{\rm e}^{{\it \_a}}} \right ) ^{2}}}-\sqrt {3}+3\,i \right ) \left ( \sqrt [3]{108\,{{\rm e}^{{\it \_a}}}+12\,\sqrt {12+81\, \left ( {{\rm e}^{{\it \_a}}} \right ) ^{2}}}+\sqrt {3}-3\,i \right ) }}{d{\it \_a}}-{\it \_C1}=0,x-\int ^{y \left ( x \right ) }\!-12\,{\frac {\sqrt [3]{108\,{{\rm e}^{{\it \_a}}}+12\,\sqrt {12+81\, \left ( {{\rm e}^{{\it \_a}}} \right ) ^{2}}}}{ \left ( i\sqrt {3}-1 \right ) \left ( \sqrt [3]{108\,{{\rm e}^{{\it \_a}}}+12\,\sqrt {12+81\, \left ( {{\rm e}^{{\it \_a}}} \right ) ^{2}}}+\sqrt {3}+3\,i \right ) \left ( -\sqrt [3]{108\,{{\rm e}^{{\it \_a}}}+12\,\sqrt {12+81\, \left ( {{\rm e}^{{\it \_a}}} \right ) ^{2}}}+\sqrt {3}+3\,i \right ) }}{d{\it \_a}}-{\it \_C1}=0 \right \} \] Mathematica raw input
DSolve[y'[x] + y'[x]^3 == E^y[x],y[x],x]
Mathematica raw output
$Aborted
Maple raw input
dsolve(diff(y(x),x)^3+diff(y(x),x) = exp(y(x)), y(x),'implicit')
Maple raw output
x-Intat(6/((108*exp(_a)+12*(12+81*exp(_a)^2)^(1/2))^(2/3)-12)*(108*exp(_a)+12*(12+81*exp(_a)^2)^(1/2))^(1/3),_a = y(x))-_C1 = 0, x-Intat(-12/(I*3^(1/2)+1)/((108*exp(_a)+12*(12+81*exp(_a)^2)^(1/2))^(1/3)-3^(1/2)+3*I)/((108*exp(_a)+12*(12+81*exp(_a)^2)^(1/2))^(1/3)+3^(1/2)-3*I)*(108*exp(_a)+12*(12+81*exp(_a)^2)^(1/2))^(1/3),_a = y(x))-_C1 = 0, x-Intat(-12*(108*exp(_a)+12*(12+81*exp(_a)^2)^(1/2))^(1/3)/(I*3^(1/2)-1)/((108*exp(_a)+12*(12+81*exp(_a)^2)^(1/2))^(1/3)+3^(1/2)+3*I)/(-(108*exp(_a)+12*(12+81*exp(_a)^2)^(1/2))^(1/3)+3^(1/2)+3*I),_a = y(x))-_C1 = 0