40.2.21 problem 46

Internal problem ID [6599]
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
Date solved : Monday, January 27, 2025 at 02:15:14 PM
CAS classification : [_separable]

\begin{align*} x y^{\prime }+2 y&=0 \end{align*}

With initial conditions

\begin{align*} y \left (2\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.006 (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: 0.026 (sec). Leaf size: 10

DSolve[{x*D[y[x],x]+2*y[x]==0,{y[2]==1}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {4}{x^2} \]