6.10 problem 10

Internal problem ID [12680]

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: 0.015 (sec). Leaf size: 13

dsolve([y(x)-x^2*diff(y(x),x)=0,y(1) = 1],y(x), singsol=all)
 

\[ y \left (x \right ) = {\mathrm e}^{\frac {-1+x}{x}} \]

✓ 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]
                                                                                    
                                                                                    
 

\[ y(x)\to e^{1-\frac {1}{x}} \]