Internal problem ID [13797]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Review exercises, page
23
Problem number: 17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=x^{2} \sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(diff(y(x),x)=x^2*sin(x),y(x), singsol=all)
\[ y \left (x \right ) = -\cos \left (x \right ) x^{2}+2 \cos \left (x \right )+2 x \sin \left (x \right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 22
DSolve[y'[x]==x^2*Sin[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\left (x^2-2\right ) \cos (x)+2 x \sin (x)+c_1 \]