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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» <html><body><p>Take <a href="https://interviewquestions.tuteehub.com/tag/2x-301182" style="font-weight:bold;" target="_blank" title="Click to know more about 2X">2X</a> + 3 = <a href="https://interviewquestions.tuteehub.com/tag/et-453176" style="font-weight:bold;" target="_blank" title="Click to know more about ET">ET</a> , t = log(2x + 3) so that the <a href="https://interviewquestions.tuteehub.com/tag/given-473447" style="font-weight:bold;" target="_blank" title="Click to know more about GIVEN">GIVEN</a> equation reduced to [4D(D – 1) – <a href="https://interviewquestions.tuteehub.com/tag/2d-300662" style="font-weight:bold;" target="_blank" title="Click to know more about 2D">2D</a> – 12]y = 3(e^t – 3) as 6x = 3(2x) = 3(e^t – 3) or 2(2D2 – 3D – <a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a>)y = 3(e^t – 3)Continue with fig.1</p></body></html>


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