Internal problem ID [12356]
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: 6.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\frac {2 x}{y}=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 13
dsolve([diff(y(x),x)=2*x/y(x),y(0) = 2],y(x), singsol=all)
\[ y \left (x \right ) = \sqrt {2 x^{2}+4} \]
✓ Solution by Mathematica
Time used: 0.121 (sec). Leaf size: 20
DSolve[{y'[x]==2*x/y[x],{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \sqrt {2} \sqrt {x^2+2} \]