44.5.1 problem 1

Internal problem ID [7063]
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 : 1
Date solved : Monday, January 27, 2025 at 02:46:37 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=\sin \left (5 x \right ) \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 12

dsolve(diff(y(x),x)=sin(5*x),y(x), singsol=all)
 

\[ y = -\frac {\cos \left (5 x \right )}{5}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.019 (sec). Leaf size: 16

DSolve[D[y[x],x]==Sin[5*x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\frac {1}{5} \cos (5 x)+c_1 \]