67.2.48 problem Problem 19(a)

Internal problem ID [14005]
Book : APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section : Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number : Problem 19(a)
Date solved : Tuesday, January 28, 2025 at 06:11:37 AM
CAS classification : [[_2nd_order, _exact, _nonlinear], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_y_y1], [_2nd_order, _reducible, _mu_xy]]

\begin{align*} x y^{\prime \prime }+\left (6 x y^{2}+1\right ) y^{\prime }+2 y^{3}+1&=0 \end{align*}

✗ Solution by Maple

dsolve(x*diff(y(x),x$2)+(6*x*y(x)^2+1)*diff(y(x),x)+2*y(x)^3+1=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x*D[y[x],{x,2}]+(6*x*y[x]^2+1)*D[y[x],x]+2*y[x]^3+1==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved