Question: Solve the following homogeneous linear ordinary differential equations. What is the dimension of the solution space? (a) u - 4u = 0 (b) u -

Solve the following homogeneous linear ordinary differential equations. What is the dimension of the solution space?
(a) u" - 4u = 0
(b) u" - 6u' + 8u = 0
(c) u‴ - 9u′ = 0
(d) u"" + 4u‴ - u" - 16u′ - 12u = 0

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