73.4.13 problem 5.2 (c)

Internal problem ID [15095]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 5. LINEAR FIRST ORDER EQUATIONS. Additional exercises. page 103
Problem number : 5.2 (c)
Date solved : Tuesday, January 28, 2025 at 07:30:34 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }&=4 y+16 x \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 15

dsolve(diff(y(x),x)=4*y(x)+16*x,y(x), singsol=all)
 

\[ y = -4 x -1+{\mathrm e}^{4 x} c_{1} \]

✓ Solution by Mathematica

Time used: 0.038 (sec). Leaf size: 31

DSolve[D[y[x],x]==4*y[x]+16*x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{4 x} \left (\int _1^x16 e^{-4 K[1]} K[1]dK[1]+c_1\right ) \]