76.11.5 problem 5

Internal problem ID [17549]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 4. Second order linear equations. Section 4.1 (Definitions and examples). Problems at page 214
Problem number : 5
Date solved : Tuesday, January 28, 2025 at 10:43:17 AM
CAS classification : [[_2nd_order, _missing_x], _Van_der_Pol]

\begin{align*} y^{\prime \prime }+\mu \left (1-y^{2}\right ) y^{\prime }+y&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x$2)+mu*(1-y(x)^2)*diff(y(x),x)+y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved