Internal problem ID [11653]
Book: AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS by JAMES C.
ROBINSON. Cambridge University Press 2004
Section: Chapter 5, Trivial differential equations. Exercises page 33
Problem number: 5.4 (i).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{\prime }=\sec \left (t \right )^{2}} \] With initial conditions \begin {align*} \left [x \left (\frac {\pi }{4}\right ) = 0\right ] \end {align*}
✓ Solution by Maple
Time used: 0.031 (sec). Leaf size: 8
dsolve([diff(x(t),t)=sec(t)^2,x(1/4*Pi) = 0],x(t), singsol=all)
\[ x \left (t \right ) = \tan \left (t \right )-1 \]
✓ Solution by Mathematica
Time used: 0.016 (sec). Leaf size: 9
DSolve[{x'[t]==Sec[t]^2,{x[Pi/4]==0}},x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to \tan (t)-1 \]