# Question:suggestion for simpler form of solution to this ode

## Question:suggestion for simpler form of solution to this ode

Maple 2024

May be someone can come up with a way to simplify this ode solution? I used the option useInt but the solution can be written in much simpler way than Maple gives.  Below is worksheet showing Maple's 2024 solution and my hand solution.

 > ode:=diff(y(x),x)^3=y(x)+x

 > maple_sol:=dsolve(ode,useInt): maple_sol:=Vector([maple_sol]);

 > mysol1:= Intat(1/(_a^(1/3) + 1), _a = (y(x) + x))=x+_C1: mysol2:= Intat(1/( -(-1)^(1/3)*_a^(1/3) + 1), _a = (y(x) + x))=x+_C1: mysol3:= Intat(1/( (-1)^(2/3)*_a^(1/3) + 1), _a = (y(x) + x))=x+_C1: mysol:=Vector([mysol1,mysol2,mysol3]);
 >

 > map(X->odetest(X,ode),mysol)
 >

 >

I keep losing the edits I do. I post screen shot. Click submit, then find all my changes are lost. Will try one more time and give up:

This is Maple solution

This is implified version

Both versions are verified correct by odetest. The question is there is a way to obtain the simpler form from Maple.

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