Internal problem ID [2611]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth
edition, 2015
Section: Chapter 1, First-Order Differential Equations. Section 1.2, Basic Ideas and Terminology.
page 21
Problem number: Problem 33.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(y(x),x)=sin(x),y(x), singsol=all)
\[ y \left (x \right ) = -\cos \left (x \right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 12
DSolve[y'[x]==Sin[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\cos (x)+c_1 \]