Internal problem ID [12952]
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: 2.5 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=\sin \left (\frac {x}{2}\right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)=sin(x/2),y(x), singsol=all)
\[ y = -2 \cos \left (\frac {x}{2}\right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.021 (sec). Leaf size: 16
DSolve[y'[x]==Sin[x/2],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -2 \cos \left (\frac {x}{2}\right )+c_1 \]