you have the right idea, however, you should have realized that your integrating factor is off. does not yield as it should. rather your integrating factor is given by

y(1) = 5 simply means when x = 1, y = 5. you are supposed to plug in these values into your solution (after you correct it ) and this will allow you to solve for the arbitrary constantAfter I have done like this, I don't know what should I do with y(1) = 5.