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• Determine the solution for the homogeneous linear second order differential equation y/" – 2y + 2y = 0 with the initial conditions y(0) = 1 and y'(0) = 0. %3D Answer: | = e=*(cosr– sin r) CoS ii) y = e"(- cos T – i) y = e" (cos r – sin r) iv) y = e" (cos r + sin r) v) y = e" (cos r – sin r). Mark the correct answer in the ois, whichever of the (i), (ii), (iii), (iv), and (v) options is correct.

• Determine the solution for the homogeneous linear second order differential equation y/" – 2y + 2y = 0 with the initial conditions y(0) = 1 and y'(0) = 0. %3D Answer: | = e=*(cosr– sin r) CoS ii) y = e"(- cos T – i) y = e" (cos r – sin r) iv) y = e" (cos r + sin r) v) y = e" (cos r – sin r). Mark the correct answer in the ois, whichever of the (i), (ii), (iii), (iv), and (v) options is correct.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Soru 2. (5 puan) • Determine the solution for the homogeneous linear second order differential equation y" – 2y/ + 2y = 0 with the initial conditions y(0) = 1 and y'(0) = 0. Answer: i) y = e"(cos r – sin z) COS I ii) y = e"(- cos x – - sin r) 2r iii) y = e" (cos – sin r) iv) y = e* (cos r + sin r) v) y = e" (cos r – sin r). COS Mark the correct answer in the ois, whichever of the (i), (ii), (ii), (iv), and (v) options is correct.
Transcribed Image Text:Soru 2. (5 puan) • Determine the solution for the homogeneous linear second order differential equation y" – 2y/ + 2y = 0 with the initial conditions y(0) = 1 and y'(0) = 0. Answer: i) y = e"(cos r – sin z) COS I ii) y = e"(- cos x – - sin r) 2r iii) y = e" (cos – sin r) iv) y = e* (cos r + sin r) v) y = e" (cos r – sin r). COS Mark the correct answer in the ois, whichever of the (i), (ii), (ii), (iv), and (v) options is correct.
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