Internal problem ID [14626]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.4, page 163
Problem number: 59.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [NONE]
\[ \boxed {-2 t \left (1+t \right ) y=-{\mathrm e}^{-2 t} \left (y y^{\prime \prime }-{y^{\prime }}^{2}\right )} \]
✗ Solution by Maple
dsolve(exp(-2*t)*(y(t)*diff(y(t),t$2)-diff(y(t),t)^2)-2*t*(1+t)*y(t)=0,y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[Exp[-2*t]*(y[t]*y''[t]-y'[t]^2)-2*t*(1+t)*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
Not solved