Internal problem ID [14435]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Review exercises, page 80
Problem number: 33.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_exact]
\[ \boxed {\sin \left (y\right )-\cos \left (t \right ) y+\left (t \cos \left (y\right )-\sin \left (t \right )\right ) y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (\pi \right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 5
dsolve([(sin(y(t))-y(t)*cos(t))+(t*cos(y(t))-sin(t))*diff(y(t),t)=0,y(Pi) = 0],y(t), singsol=all)
\[ y \left (t \right ) = 0 \]
✓ Solution by Mathematica
Time used: 0.012 (sec). Leaf size: 6
DSolve[{(Sin[y[t]]-y[t]*Cos[t])+(t*Cos[y[t]]-Sin[t])*y'[t]==0,{y[Pi]==0}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 0 \]