Internal problem ID [14313]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {-y^{2} \cos \left (t y\right )+\left (t \cos \left (t y\right ) y+\sin \left (t y\right )\right ) y^{\prime }=-1} \]
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[(1-y[t]^2*Cos[t*y[t]])+(t*y[t]*Cos[t*y[t]]+Sin[t*y[t]])*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
Not solved