Internal problem ID [12690]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.3, page 71
Problem number: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {y}{x}=\sin \left (x^{2}\right )} \] With initial conditions \begin {align*} [y \left (-1\right ) = -1] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 17
dsolve([diff(y(x),x)=y(x)/x+sin(x^2),y(-1) = -1],y(x), singsol=all)
\[ y \left (x \right ) = -\frac {\left (-\operatorname {Si}\left (x^{2}\right )-2+\operatorname {Si}\left (1\right )\right ) x}{2} \]
✓ Solution by Mathematica
Time used: 0.067 (sec). Leaf size: 20
DSolve[{y'[x]==y[x]/x+Sin[x^2],{y[-1]==-1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {1}{2} x \left (\text {Si}\left (x^2\right )-\text {Si}(1)+2\right ) \]