Internal problem ID [2494]
Book: Theory and solutions of Ordinary Differential equations, Donald Greenspan, 1960
Section: Exercises, page 14
Problem number: 1(b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-1+x^{5}-\sqrt {x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(diff(y(x),x)=1-x^5+sqrt(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {2 x^{\frac {3}{2}}}{3}-\frac {x^{6}}{6}+x +c_{1} \]
✓ Solution by Mathematica
Time used: 0.006 (sec). Leaf size: 25
DSolve[y'[x]==1-x^5+Sqrt[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {2 x^{3/2}}{3}-\frac {x^6}{6}+x+c_1 \\ \end{align*}