74.1.26 problem 33

Internal problem ID [15806]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 33
Date solved : Tuesday, January 28, 2025 at 08:07:53 AM
CAS classification : [_exact]

\begin{align*} \frac {y}{x}+\cos \left (y\right )+\left (\ln \left (x \right )-x \sin \left (y\right )\right ) y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.053 (sec). Leaf size: 15

dsolve((y(x)/x+cos(y(x)))+(ln(x)-x*sin(y(x)))*diff(y(x),x)=0,y(x), singsol=all)
 

\[ x \cos \left (y\right )+y \ln \left (x \right )+c_{1} = 0 \]

✓ Solution by Mathematica

Time used: 0.229 (sec). Leaf size: 19

DSolve[(y[x]/x+Cos[y[x]])+(Log[x]-x*Sin[y[x]])*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ \text {Solve}[-y(x) \log (x)-x \cos (y(x))=c_1,y(x)] \]