Internal problem ID [1990]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 10, page 41
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=3 x^{2} {\mathrm e}^{x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)=y(x)+3*x^2*exp(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (x^{3}+c_{1} \right ) {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 15
DSolve[y'[x]==y[x]+3*x^2*Exp[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to e^x \left (x^3+c_1\right ) \]