74.6.24 problem 25

Internal problem ID [16047]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.4, page 57
Problem number : 25
Date solved : Tuesday, January 28, 2025 at 08:29:41 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} 1-y^{2} \cos \left (t y\right )+\left (t y \cos \left (t y\right )+\sin \left (t y\right )\right ) y^{\prime }&=0 \end{align*}

✗ Solution by Maple

dsolve((1-y(t)^2*cos(t*y(t)))+(t*y(t)*cos(t*y(t))+sin(t*y(t)))*diff(y(t),t)=0,y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(1-y[t]^2*Cos[t*y[t]])+(t*y[t]*Cos[t*y[t]]+Sin[t*y[t]])*D[y[t],t]==0,y[t],t,IncludeSingularSolutions -> True]
 

Not solved