Internal problem ID [14070]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_exact]
\[ \boxed {\frac {y}{x}+\cos \left (y\right )+\left (\ln \left (x \right )-\sin \left (y\right ) x \right ) y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.015 (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)
\[ \cos \left (y \left (x \right )\right ) x +y \left (x \right ) \ln \left (x \right )+c_{1} = 0 \]
✓ Solution by Mathematica
Time used: 0.221 (sec). Leaf size: 19
DSolve[(y[x]/x+Cos[y[x]])+(Log[x]-x*Sin[y[x]])*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ \text {Solve}[-y(x) \log (x)-x \cos (y(x))=c_1,y(x)] \]