Internal problem ID [13262]
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 (j).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {y^{\prime \prime }=\sin \left (2 x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x$2)=sin(2*x),y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\sin \left (2 x \right )}{4}+c_{1} x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 20
DSolve[y''[x]==Sin[2*x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {1}{4} \sin (2 x)+c_2 x+c_1 \]