74.2.12 problem 17

Internal problem ID [15853]
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
Date solved : Tuesday, January 28, 2025 at 08:10:19 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=x^{2} \sin \left (x \right ) \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 22

dsolve(diff(y(x),x)=x^2*sin(x),y(x), singsol=all)
 

\[ y = -\cos \left (x \right ) x^{2}+2 \cos \left (x \right )+2 x \sin \left (x \right )+c_{1} \]

✓ Solution by Mathematica

Time used: 0.011 (sec). Leaf size: 23

DSolve[D[y[x],x]==x^2*Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \int _1^xK[1]^2 \sin (K[1])dK[1]+c_1 \]