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(Solved): Proceed as in Example 4 in Section \( 6.1 \) and find a power series solution \( y=\sum_{n=0}^{\inf ...
Proceed as in Example 4 in Section \( 6.1 \) and find a power series solution \( y=\sum_{n=0}^{\infty} c_{n} x^{n} \) of the given linear first-order differential equation. (Give your answer in terms of \( c_{0} \) ) \[ y^{\prime}-2 y=0 \] \[ y(x)=c_{0} \sum_{n=0}^{\infty}( \]