Internal problem ID [5912]
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]
\[ \boxed {y^{\prime }={\mathrm e}^{3 x}+\sin \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x)=exp(3*x)+sin(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {{\mathrm e}^{3 x}}{3}-\cos \left (x \right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.009 (sec). Leaf size: 21
DSolve[y'[x]==Exp[3*x]+Sin[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {e^{3 x}}{3}-\cos (x)+c_1 \]