Internal problem ID [11995]
Book: AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS by JAMES C.
ROBINSON. Cambridge University Press 2004
Section: Chapter 9, First order linear equations and the integrating factor. Exercises page
86
Problem number: 9.1 (i).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\frac {y}{x}=x^{2}} \] With initial conditions \begin {align*} [y \left (0\right ) = y_{0}] \end {align*}
✗ Solution by Maple
dsolve([diff(y(x),x)+y(x)/x=x^2,y(0) = y__0],y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[x]+y[x]/x==x^2,{y[0]==y0}},y[x],x,IncludeSingularSolutions -> True]
Not solved