Internal problem ID [14133]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number: 9.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {y^{\prime }-\sin \left (y\right )=-\cos \left (t \right )} \] With initial conditions \begin {align*} [y \left (\pi \right ) = 0] \end {align*}
✗ Solution by Maple
dsolve([diff(y(t),t)=sin(y(t))-cos(t),y(Pi) = 0],y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[t]==Sin[y[t]]-Cos[t],{y[Pi]==0}},y[t],t,IncludeSingularSolutions -> True]
Not solved