49.1.1 problem 1 (a)

Internal problem ID [7580]
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)
Date solved : Monday, January 27, 2025 at 03:06:33 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&={\mathrm e}^{3 x}+\sin \left (x \right ) \end{align*}

✓ 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)
 

\[ y = \frac {{\mathrm e}^{3 x}}{3}-\cos \left (x \right )+c_{1} \]

✓ Solution by Mathematica

Time used: 0.015 (sec). Leaf size: 21

DSolve[D[y[x],x]==Exp[3*x]+Sin[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {e^{3 x}}{3}-\cos (x)+c_1 \]