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Question 6 ( In this question you must state if you use any shift theorems or the convolution theorem. (a) Use Laplace transforms to solve the third order differential equation y"" + 16y' = 38(t) if y(0) = 0, y'(0) = 1, y" (0) (b) Solve the integral equation if t > 0. = 5 and t > 0. 2 [ ²₁ x (7) e²-¹ dr = te-t x - 2

Question 6 ( In this question you must state if you use any shift theorems or the convolution theorem. (a) Use Laplace transforms to solve the third order differential equation y"" + 16y' = 38(t) if y(0) = 0, y'(0) = 1, y" (0) (b) Solve the integral equation if t > 0. = 5 and t > 0. 2 [ ²₁ x (7) e²-¹ dr = te-t x - 2

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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Question 6 ( In this question you must state if you use any shift theorems or the convolution theorem. (a) Use Laplace transforms to solve the third order differential equation y"" + 16y' = 38(t) if y(0) = 0, y'(0) = 1, y" (0) (b) Solve the integral equation if t > 0. = 5 and t > 0. -2 [² x (7) e²-¹ dr = te-t dT x − 2
Transcribed Image Text:Question 6 ( In this question you must state if you use any shift theorems or the convolution theorem. (a) Use Laplace transforms to solve the third order differential equation y"" + 16y' = 38(t) if y(0) = 0, y'(0) = 1, y" (0) (b) Solve the integral equation if t > 0. = 5 and t > 0. -2 [² x (7) e²-¹ dr = te-t dT x − 2
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