44.1.51 problem 63 (a)

Internal problem ID [6926]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Exercises 1.1 at page 12
Problem number : 63 (a)
Date solved : Monday, January 27, 2025 at 02:37:08 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

dsolve(diff(y(x),x)=f(x),y(x), singsol=all)
 

\[ y = \int f \left (x \right )d x +c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 18

DSolve[D[y[x],x]==f[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \int _1^xf(K[1])dK[1]+c_1 \]