Question

The reduced linear differential equation of (2x+3)^2D^2y-(2x+3)Dy-12y=6x. Ops: A. В. C. D. a. (D'^2-3/2D'-3)y=1/4(3e^z-9) b. (D'^2+3/2D'+3)y=1/4(3e^z-9 c. (D'^2-3/2D'+3)y=1/4(3e^z-9) d..(D'^2-3/2D'-3)y=1/4(3e^z+9)​

Answer 1

Answer:

Take 2x + 3 = et , t = log(2x + 3) so that the given equation reduced to

[4D(D – 1) – 2D – 12]y = 3(e^t – 3) as 6x = 3(2x) = 3(e^t – 3)

or 2(2D2 – 3D – 6)y = 3(e^t – 3)

Continue with fig.1

Answer 2

Answer:

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