Question: This problem considers the differential equation xdydx=2ex-y.(a)(8 points) Verify that y=2xexcx is a solution to the differential equation.(B) solve the initial vale problem y(1)=2 and

This problem considers the differential equation xdydx=2ex-y.(a)(8 points) Verify that y=2xexcx is a solution to the differential equation.(B) solve the initial vale problem y(1)=2 and give the largest interval I over which the solition is defined

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