need to solve following set of problems An Introduction to

need to solve following set of problems

An Introduction to Statistical Learning with Applications in R, Second Edition

which is available in the below file

Chapter 2: #1 all parts, #6, and #8 all parts

Chapter 3: #5, #6, #9 (a), (b), (c), (e), (f), #10 (a)-(g), #11 (a), (b), (c), (f), #13 all parts, #15 all parts

For the applied problems, you need to provide R codes .

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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′′