Internal problem ID [6126]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven
Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Section 1.2 THE NATURE OF SOLUTIONS.
Page 9
Problem number: 2(h).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {\sin \left (x \right ) y^{\prime }=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(sin(x)*diff(y(x),x)=1,y(x), singsol=all)
\[ y \left (x \right ) = -\ln \left (\csc \left (x \right )+\cot \left (x \right )\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.006 (sec). Leaf size: 13
DSolve[Sin[x]*y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\text {arctanh}(\cos (x))+c_1 \]