Internal problem ID [5256]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 4. Equations of first order and first degree (Variable separable). Supplemetary
problems. Page 22
Problem number: 46.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime } x +2 y=0} \] With initial conditions \begin {align*} [y \left (2\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve([x*diff(y(x),x)+2*y(x)= 0,y(2) = 1],y(x), singsol=all)
\[ y = \frac {4}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 10
DSolve[{x*y'[x]+2*y[x]==0,{y[2]==1}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {4}{x^2} \]