Internal problem ID [12237]
Internal file name [OUTPUT/10890_Thursday_September_28_2023_01_08_18_AM_47683329/index.tex]
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 2(b).
ODE order: 2.
ODE degree: 1.
The type(s) of ODE detected by this program : "unknown"
Maple gives the following as the ode type
[NONE]
Unable to solve or complete the solution.
Unable to parse ODE.
Maple trace
`Methods for third order ODEs: --- Trying classification methods --- trying 3rd order ODE linearizable_by_differentiation differential order: 3; trying a linearization to 4th order trying differential order: 3; missing variables trying differential order: 3; exact nonlinear trying 3rd order, integrating factor of the form mu(y) for some mu Trying the formal computation of integrating factors depending on any 2 of [x, y, y, y] differential order: 3; looking for linear symmetries --- Trying Lie symmetry methods, high order --- `, `-> Computing symmetries using: way = 3 `, `-> Computing symmetries using: way = 5`
✗ Solution by Maple
dsolve(diff(y(x),x$3)+x*diff(y(x),x$2)-y(x)^2=sin(x),y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'''[x]+x*y''[x]-y[x]^2==Sin[x],y[x],x,IncludeSingularSolutions -> True]
Not solved