44.5.2 problem 2

Internal problem ID [7064]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 2. First order differential equations. Section 2.2 Separable equations. Exercises 2.2 at page 53
Problem number : 2
Date solved : Monday, January 27, 2025 at 02:46:37 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\left (1+x \right )^{2} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 16

dsolve(diff(y(x),x)=(x+1)^2,y(x), singsol=all)
 

\[ y = \frac {1}{3} x^{3}+x^{2}+x +\frac {1}{3}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 19

DSolve[D[y[x],x]==(x+1)^2,y[x],x,IncludeSingularSolutions -> True]
 

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