4. Given that every solution of +y=2xe may be written in the form dy dx y...

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4. Given that every solution of +y=2xe may be written in the form dy dx y = (x + c) ex, for some choice of the arbitrary constant, solve the initial- value problems: dy a) + y = 2xe-x dx y(0) = 2 dy b) + y = 2xe-x dx y(1) = e +3 4. Given that every solution of +y=2xe may be written in the form dy dx y = (x + c) ex, for some choice of the arbitrary constant, solve the initial- value problems: dy a) + y = 2xe-x dx y(0) = 2 dy b) + y = 2xe-x dx y(1) = e +3