17.7.4 problem 1.2-2 (d)

Internal problem ID [3450]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.2-2, page 12
Problem number : 1.2-2 (d)
Date solved : Monday, January 27, 2025 at 07:37:06 AM
CAS classification : [_linear]

\begin{align*} y^{\prime }&=-y \tan \left (t \right )+\sec \left (t \right ) \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 6

dsolve([diff(y(t),t)=-tan(t)*y(t)+sec(t),y(0) = 0],y(t), singsol=all)
 

\[ y = \sin \left (t \right ) \]

✓ Solution by Mathematica

Time used: 0.037 (sec). Leaf size: 7

DSolve[{D[y[t],t]==-Tan[t]*y[t]+Sec[t],y[0]==0},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to \sin (t) \]