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verify that the
given function (implicit or explicit) is a solution of the
corresponding differential equation.
\[
\begin{array}{l}
y=e^{x}(a \cos x+b \sin x): \\
\frac{d^{2} y}{d x^{2}}-2 \frac{d y}{d x}+2 y=0
\end{array}
\]
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