Internal problem ID [14936]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 1. Basic concepts and definitions. Exercises page 18
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-y-3 y^{\frac {1}{3}}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 16
dsolve(diff(y(x),x)=y(x)+3*y(x)^(1/3),y(x), singsol=all)
\[ 3+y \left (x \right )^{\frac {2}{3}}-{\mathrm e}^{\frac {2 x}{3}} c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 2.285 (sec). Leaf size: 39
DSolve[y'[x]==y[x]+3*y[x]^(1/3),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \left (-3+e^{\frac {2 (x+c_1)}{3}}\right ){}^{3/2} \\ y(x)\to 0 \\ y(x)\to -3 i \sqrt {3} \\ \end{align*}