1.25 problem Problem 33

Internal problem ID [2102]

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]

Solve \begin {gather*} \boxed {y^{\prime }-\sin \relax (x )=0} \end {gather*}

Solution by Maple

Time used: 0.016 (sec). Leaf size: 10

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

\[ y \relax (x ) = -\cos \relax (x )+c_{1} \]

Solution by Mathematica

Time used: 0.007 (sec). Leaf size: 12

DSolve[y'[x]==Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to -\cos (x)+c_1 \\ \end{align*}