Question: from the question and what I could solve I have differential equation: [(d^2y)/(dx^2)]-4[dy/dx]+8y=0 auxiliary equation using m as the variable: m^2-4m+8=0 with roots: 2+2i,2-2i Please

from the question and what I could solve I have

differential equation:

[(d^2y)/(dx^2)]-4[dy/dx]+8y=0

auxiliary equation using m as the variable:

m^2-4m+8=0

with roots: 2+2i,2-2i

Please answer:

-what are the two fundamental solutions ???

-Solve the IVP [(d^2y)/(dx^2)]-4[dy/dx]+8y=0 using:

y(0)=4

y'(0)=-6

y=???

okay so this is where I am stuck please explain work thank you

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