Hi,Please solve below mentioned 2 problems and answer all the questions asked in each. Use the attached excel files to solve each question.1. Question 54 – Use P03_54.xlsx2. Question 58 – Use P03_58.xlsxNote: Below attached are 2 questions and required 2 excel files to be used in solving those questions.Writing Requirements:– Provide the excel file with calculations performed– Provide detailed explanation to each question in a word document with screenshot– Full APA Format– NO PLAGIARISM
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′′ − 4y′ + 3y = x ; use y1 = e3x vi. y′′ + 5y′ + 6y = e2xcos(x) vii. y′′ + y = sec(x) tan(x)
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′′