Internal problem ID [5159]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1.3 Introduction– Linear equations of First Order. Page 38
Problem number: 1 (a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{3 x}-\sin \relax (x )=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 16
dsolve(diff(y(x),x)=exp(3*x)+sin(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {{\mathrm e}^{3 x}}{3}-\cos \relax (x )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 21
DSolve[y'[x]==Exp[3*x]+Sin[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {e^{3 x}}{3}-\cos (x)+c_1 \\ \end{align*}