Solve the following Cauchy-Euler differential equations: (a) 4ry' + 4ry - y = 0. (b) ry...
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Solve the following Cauchy-Euler differential equations: (a) 4r²y' + 4ry - y = 0. (b) r²y" + 10xy' + 8y = 0. (c) r²y" - 6y = 0. (2) Solve the Cauchy-Euler DE by variation of parameters method: (a) x²y" - xy + y = 2r. (b) r²y" - 4xy' = x². (c) x²y" - 3xy + y = x³. (d) r²y" - xy + y = lnr. (e) r²" - 3ru' + 4y = lnr. Solve the following Cauchy-Euler differential equations: (a) 4r²y' + 4ry - y = 0. (b) r²y" + 10xy' + 8y = 0. (c) r²y" - 6y = 0. (2) Solve the Cauchy-Euler DE by variation of parameters method: (a) x²y" - xy + y = 2r. (b) r²y" - 4xy' = x². (c) x²y" - 3xy + y = x³. (d) r²y" - xy + y = lnr. (e) r²" - 3ru' + 4y = lnr.
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