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b) e{(t + 1) e –2t + e3tcos(5t))} = c) L )21: s+6 2 - 3 - 10 part 2) a) Solve y' ' - 6y' + 9y = 0. ;}

b) e{(t + 1) e –2t + e3tcos(5t))} = c) L )21: s+6 2 - 3 - 10 part 2) a) Solve y' ' - 6y' + 9y = 0. ;}

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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I need solve this question of ordinary differential equation MA266. part 1 .Only 2 and 3 and all part 2 please ?
part 1) following transformations: a) L <^¹ ) = ? 2 1{ S (s+3)²+9 9) < ¹ 3t b) L{(t+1) e 2t+e³t cos(5t))} = s+6 s²-3s-10 part 2) Evaluate the -10} = a) Solve y" -6y' +9y=0. b) Find the particular solution of y"-6y' +9y=3-t c) Use the Laplace transform to solve the given initial value problem y"-6y' +9y=3-t, y(0)=0, y' (0) = 2
Transcribed Image Text:part 1) following transformations: a) L <^¹ ) = ? 2 1{ S (s+3)²+9 9) < ¹ 3t b) L{(t+1) e 2t+e³t cos(5t))} = s+6 s²-3s-10 part 2) Evaluate the -10} = a) Solve y" -6y' +9y=0. b) Find the particular solution of y"-6y' +9y=3-t c) Use the Laplace transform to solve the given initial value problem y"-6y' +9y=3-t, y(0)=0, y' (0) = 2
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