See the attached documents for both the course material and

See the attached documents for both the course material and questions. 

Please make sure you: 

1) Answer all questions and each part of the question in detail that demonstrates an extension of learning.

2) Response to questions demonstrates understanding and application of concepts covered in class, uses in-text citations and scholarly resources to support all answers.

3) No grammatical errors; Complete sentences are used. Proper formatting is used. Citations are used according to APA

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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′′