Internal problem ID [14215]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 57 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }-\cos \left (t \right ) y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 7
dsolve([diff(y(t),t)=y(t)*cos(t),y(0) = 1],y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{\sin \left (t \right )} \]
✓ Solution by Mathematica
Time used: 0.035 (sec). Leaf size: 9
DSolve[{y'[t]==y[t]*Cos[t],{y[0]==1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{\sin (t)} \]