23.1.2 problem 1(b)

Internal problem ID [4092]
Book : Theory and solutions of Ordinary Differential equations, Donald Greenspan, 1960
Section : Chapter 2. First order equations. Exercises at page 14
Problem number : 1(b)
Date solved : Monday, January 27, 2025 at 08:08:23 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=1-x^{5}+\sqrt {x} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 17

dsolve(diff(y(x),x)=1-x^5+sqrt(x),y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {2 x^{{3}/{2}}}{3}-\frac {x^{6}}{6}+x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 25

DSolve[D[y[x],x]==1-x^5+Sqrt[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {2 x^{3/2}}{3}-\frac {x^6}{6}+x+c_1 \]