Internal problem ID [4489]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {-4 y+y^{\prime }-32 x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 20
dsolve(diff(y(x),x)-4*y(x)=32*x^2,y(x), singsol=all)
\[ y \relax (x ) = -8 x^{2}-4 x -1+{\mathrm e}^{4 x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.052 (sec). Leaf size: 23
DSolve[y'[x]-4*y[x]==32*x^2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -4 x (2 x+1)+c_1 e^{4 x}-1 \\ \end{align*}