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Solve the following differential equations: a. (D^3 ? 4D^2 + 7D)y = 0 b. (D^6 + 6D^4 + 12D^2 + 8)y = 0 c. y

Solve the following differential equations:

a. (D^3 ? 4D^2 + 7D)y = 0

b. (D^6 + 6D^4 + 12D^2 + 8)y = 0

c. y" ? 9y = 0 with x = 0, y = 0 and y? = 3
d. y?? ? 3y? + 2y = 2x^2 + e^x + 2xe^x + 4e^(3x)

 

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