Pregunta: 7. Solve y′′−2y′+y=1+x2ex using variation of parameters.

First, let's write the given differential equation in standard form:

$\mathrm{y}{}^{″}-2{\mathrm{y}}^{\prime }+\mathrm{y}=\frac{{\mathrm{e}}^{\mathrm{x}}}{1+{\mathrm{x}}^2}$

Now, let's find the complementar...