Internal problem ID [13752]
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: 35.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=x \sin \left (x^{2}\right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)=x*sin(x^2),y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\cos \left (x^{2}\right )}{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 16
DSolve[y'[x]==x*Sin[x^2],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {\cos \left (x^2\right )}{2}+c_1 \]