In 250-300 words outline your dissertation topic and goals for


 In 250-300 words outline your dissertation topic and goals for this semester as they relate to your dissertation course. If you do not have a dissertation topic please revert those you are considering. Also, include ways that you could improve your dissertation, as well as areas you may be struggling with.  

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Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′