Internal problem ID [13283]
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: 2.7 e.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime } x=\sin \left (x \right )} \] With initial conditions \begin {align*} [y \left (0\right ) = 4] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 8
dsolve([x*diff(y(x),x)=sin(x),y(0) = 4],y(x), singsol=all)
\[ y \left (x \right ) = \operatorname {Si}\left (x \right )+4 \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 9
DSolve[{x*y'[x]==Sin[x],{y[0]==4}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \text {Si}(x)+4 \]