2.7 problem 8

Internal problem ID [6692]

Book: Second order enumerated odes
Section: section 2
Problem number: 8.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [[_homogeneous, class C], _dAlembert]

Solve \begin {gather*} \boxed {y^{\prime }-\left (x +y\right )^{4}=0} \end {gather*}

Solution by Maple

Time used: 1.172 (sec). Leaf size: 880

dsolve(diff(y(x), x) = (x + y(x))^4,y(x), singsol=all)
 

\[ \text {Expression too large to display} \]

Solution by Mathematica

Time used: 0.191 (sec). Leaf size: 88

DSolve[y'[x] == (x + y[x])^4,y[x],x,IncludeSingularSolutions -> True]
 

\[ \text {Solve}\left [\frac {1}{4} \text {RootSum}\left [\text {$\#$1}^4+4 \text {$\#$1}^3 y(x)+6 \text {$\#$1}^2 y(x)^2+4 \text {$\#$1} y(x)^3+y(x)^4+1\&,\frac {\log (x-\text {$\#$1})}{\text {$\#$1}^3+3 \text {$\#$1}^2 y(x)+3 \text {$\#$1} y(x)^2+y(x)^3}\&\right ]-x=c_1,y(x)\right ] \]