Internal problem ID [12360]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.2, page 63
Problem number: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y-x^{2} y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve([y(x)-x^2*diff(y(x),x)=0,y(1) = 1],y(x), singsol=all)
\[ y \left (x \right ) = {\mathrm e}^{\frac {x -1}{x}} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 14
DSolve[{y[x]-x^2*y'[x]==0,{y[1]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^{1-\frac {1}{x}} \]