Internal problem ID [11991]
Book: AN INTRODUCTION TO ORDINARY DIFFERENTIAL EQUATIONS by JAMES C.
ROBINSON. Cambridge University Press 2004
Section: Chapter 8, Separable equations. Exercises page 72
Problem number: 8.5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{\prime }-\lambda x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(x(t),t)=lambda*x(t),x(t), singsol=all)
\[ x \left (t \right ) = c_{1} {\mathrm e}^{\lambda t} \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 18
DSolve[x'[t]==\[Lambda]*x[t],x[t],t,IncludeSingularSolutions -> True]
\begin{align*} x(t)\to c_1 e^{\lambda t} \\ x(t)\to 0 \\ \end{align*}