4.13 problem 5.2 (c)

Internal problem ID [13359]

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).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [[_linear, `class A`]]

\[ \boxed {y^{\prime }-4 y=16 x} \]

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 15

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

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

✓ Solution by Mathematica

Time used: 0.042 (sec). Leaf size: 18

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

\[ y(x)\to -4 x+c_1 e^{4 x}-1 \]