Internal problem ID [15221]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 14. Differential equations admitting of
depression of their order. Exercises page 107
Problem number: 363.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type
[[_3rd_order, _missing_x], [_3rd_order, _exact, _nonlinear], [_3rd_order, _with_linear_symmetries], [_3rd_order, _reducible, _mu_y2]]
✓ Solution by Maple
Time used: 0.047 (sec). Leaf size: 11
dsolve([diff(y(x),x$3)=3*y(x)*diff(y(x),x),y(0) = 1, D(y)(0) = 1, (D@@2)(y)(0) = 3/2],y(x), singsol=all)
\[ y = \frac {4}{\left (x -2\right )^{2}} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'''[x]==3*y[x]*y'[x],{y[0]==1,y'[0]==1,y''[0]==3/2}},y[x],x,IncludeSingularSolutions -> True]
{}