Internal problem ID [12335]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.2, page 53
Problem number: 19.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {y}{x}=\tan \left (x \right )} \] With initial conditions \begin {align*} [y \left (\pi \right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 18
dsolve([diff(y(x),x)=y(x)/x+tan(x),y(Pi) = 0],y(x), singsol=all)
\[ y \left (x \right ) = \left (\int _{\pi }^{x}\frac {\tan \left (\textit {\_z1} \right )}{\textit {\_z1}}d \textit {\_z1} \right ) x \]
✓ Solution by Mathematica
Time used: 1.98 (sec). Leaf size: 22
DSolve[{y'[x]==y[x]/x+Tan[x],{y[Pi]==0}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x \int _{\pi }^x\frac {\tan (K[1])}{K[1]}dK[1] \]