b) Find the specific solution to the following 2nd order non- homogeneous differential equations d²y + 16y = cos x dx2 c) Classify the equation below with all the possible characteristics and properties of a differential equation. d3z 3Z(x) dx3 d) ). Find the general solution to this homogeneous equation using the auxiliary equation method 2y"+ 4y' +10y = 0

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A:

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A: A detailed solution is given below.

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A: solution:-∑n=1∞3n34-n an=3n34-n an+1=3n+134-n+1 Ratio testL=limn→∞an+1an=limn→∞3n+134-n+1 3n34-n =li...

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A: Please see the below picture for detailed solution. 

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A: Please see the below picture for detailed solution. 

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A: option (C)  is correct see below the answer and calculation

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