35.7.2 problem 1 (b)

Internal problem ID [6184]
Book : Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley. 2006
Section : Chapter 8, Ordinary differential equations. Section 7. Other second-Order equations. page 435
Problem number : 1 (b)
Date solved : Monday, January 27, 2025 at 01:47:01 PM
CAS classification : [[_2nd_order, _missing_x], [_2nd_order, _exact, _nonlinear], _Lagerstrom, [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]]

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

With initial conditions

\begin{align*} y \left (0\right )&=2\\ y^{\prime }\left (0\right )&=-2 \end{align*}

✓ Solution by Maple

Time used: 0.010 (sec). Leaf size: 11

dsolve([diff(y(x),x$2)+y(x)*diff(y(x),x)=0,y(0) = 2, D(y)(0) = -2],y(x), singsol=all)
 

\[ y = \frac {2}{x +1} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

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

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