73.1.15 problem 2.3 (e)

Internal problem ID [14993]
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 (e)
Date solved : Tuesday, January 28, 2025 at 07:27:10 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.005 (sec). Leaf size: 16

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

\[ y(x)\to \frac {\sin \left (x^2\right )}{2}+c_1 \]