Internal problem ID [13257]
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).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=x \cos \left (x^{2}\right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)=x*cos(x^2),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\sin \left (x^{2}\right )}{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.007 (sec). Leaf size: 16
DSolve[y'[x]==x*Cos[x^2],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {\sin \left (x^2\right )}{2}+c_1 \]