36.4.2 problem 2

Internal problem ID [6340]
Book : Fundamentals of Differential Equations. By Nagle, Saff and Snider. 9th edition. Boston. Pearson 2018.
Section : Chapter 2, First order differential equations. Review problems. page 79
Problem number : 2
Date solved : Monday, January 27, 2025 at 01:57:33 PM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }-4 y&=32 x^{2} \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 20

dsolve(diff(y(x),x)-4*y(x)=32*x^2,y(x), singsol=all)
 

\[ y = -8 x^{2}-4 x -1+{\mathrm e}^{4 x} c_1 \]

✓ Solution by Mathematica

Time used: 0.061 (sec). Leaf size: 23

DSolve[D[y[x],x]-4*y[x]==32*x^2,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -8 x^2-4 x+c_1 e^{4 x}-1 \]