Question

find auxiliary equation .........​

Answer 1

(D^2 - 4D +4)y=0

Auxillary equation

m^2 - 4m +4=0

(m-2)(m+2)=0

m=2 and -2

General solution

Y = e^2x (C1 + C2x)

Answer 2

Answer:

HEYA MATE..........

HERE IS YOUR ANSWER........

Step-by-step explanation:

[D2 - 4D + 4] Y = 0

Assume D = 4

Y = 0

Then,

[ (4 × 4) - (4 × 4) + 4 ] 0

[ 16 - 16 + 4 ] 0

[ 16 - 20 ] 0

-4 × 0 = 0

Proved

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