74.7.54 problem 59

Internal problem ID [16060]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.5, page 64
Problem number : 59
Date solved : Monday, March 31, 2025 at 02:37:18 PM
CAS classification : [_dAlembert]

\begin{align*} y&=t {y^{\prime }}^{2}+3 {y^{\prime }}^{2}-2 {y^{\prime }}^{3} \end{align*}

✓ Maple. Time used: 0.035 (sec). Leaf size: 734

ode:=y(t) = t*diff(y(t),t)^2+3*diff(y(t),t)^2-2*diff(y(t),t)^3; 
dsolve(ode,y(t), singsol=all);
 

\begin{align*} \text {Solution too large to show}\end{align*}

✓ Mathematica. Time used: 126.17 (sec). Leaf size: 875

ode=y[t]==t*D[y[t],t]^2+3*D[y[t],t]^2-2*D[y[t],t]^3; 
ic={}; 
DSolve[{ode,ic},y[t],t,IncludeSingularSolutions->True]
 

\begin{align*} \text {Solution too large to show}\end{align*}

✗ Sympy

from sympy import * 
t = symbols("t") 
y = Function("y") 
ode = Eq(-t*Derivative(y(t), t)**2 + y(t) + 2*Derivative(y(t), t)**3 - 3*Derivative(y(t), t)**2,0) 
ics = {} 
dsolve(ode,func=y(t),ics=ics)
 

Timed Out