Internal problem ID [5175]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1.6 Introduction– Linear equations of First Order. Page 41
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {L y^{\prime }+R y-E=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(L*diff(y(x),x)+R*y(x)=E,y(x), singsol=all)
\[ y \left (x \right ) = \frac {E}{R}+{\mathrm e}^{-\frac {R x}{L}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.045 (sec). Leaf size: 23
DSolve[L*y'[x]+R*y[x]==E0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {\text {E0}-\text {E0} e^{-\frac {R x}{L}}}{R} \\ \end{align*}