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In: Advanced Math

Solve each of the following ODEs. If initial conditions are given, give the unique solution. d)...

Solve each of the following ODEs. If initial conditions are given, give the unique solution.

d) y''' − 5y'' + 2y' + 8y = 0, y(0) = 2, y'(0) = −1, y''(0) = −5

e) y''' + 9y'' + 27y' + 27y = 0, y(0) = 2, y'(0) = 0, y''(0) = 3

a) x^2y'' + xy' + 4y = 0, x > 0

b) x^2y'' − 6y = 0, x > 0, y(1) = y'(1) = 5

c) x^2y'' + 5xy' + 4y = 0, x > 0, y(1) = 5, y'(1) = −9

Solutions

Expert Solution

Colby Messinger answered 1 year ago
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