10.2.23 problem 23

Internal problem ID [1151]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.2. Page 48
Problem number : 23
Date solved : Monday, January 27, 2025 at 04:36:45 AM
CAS classification : [_separable]

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

With initial conditions

\begin{align*} y \left (0\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.062 (sec). Leaf size: 16

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

\[ y = -\frac {2}{x^{2}+4 x -2} \]

✓ Solution by Mathematica

Time used: 0.140 (sec). Leaf size: 17

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

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