73.1.16 problem 2.3 (f)

Internal problem ID [14994]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 2. Integration and differential equations. Additional exercises. page 32
Problem number : 2.3 (f)
Date solved : Tuesday, January 28, 2025 at 07:27:11 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(diff(y(x),x)=x*cos(x),y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.011 (sec). Leaf size: 21

DSolve[D[y[x],x]==x*Cos[x],y[x],x,IncludeSingularSolutions -> True]
 

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