Internal problem ID [12269]
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).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type
[[_2nd_order, _exact, _nonlinear], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_y_y1], [_2nd_order, _reducible, _mu_xy]]
\[ \boxed {x y^{\prime \prime }+\left (6 y^{2} x +1\right ) y^{\prime }+2 y^{3}=-1} \]
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[x*y''[x]+(6*x*y[x]^2+1)*y'[x]+2*y[x]^3+1==0,y[x],x,IncludeSingularSolutions -> True]
Not solved