Find the solution to the VP 9y" +12 y' +4y =0 ; v(0)=-3 y'(0) =3 differential eq

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: Find the number of roots of the equation z^4+4z-1=0 in the annulus 1/3<|z|<2.

A: Rouche's Theorem : If f(z) and g(z) are two analytic functions within and on a simple closed curve C…

Q: 6. y = V2x – 3x . Find y'" -

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Q: 5- 24 1+ A to A' type your answer. B' type your answer. and C' type your answer.

A: The given data is:   From the graph, the coordinate of A2,-3, B5,-4, and C2,-4 To find the…