dt² 3.) +4 dt³ d'y dt² + 5 dy -6y=-12 y (0) = 1, y' (0) = 4, y' (0) = -2 ; dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 20E
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Topic: Solving Differential Equations by Laplace Transform.

 

Please answer nos.1 and 3 only.

PLEASE ANSWER ALL THE PROBLEM, THANK YOU!
Solve each of the following by Laplace Transform:
d'y
1.) +2 +y=sinh 3t – 5 cosh3t ; y (0)=−2 , y (0) = 5
dt
d'y dy
2.)
4
dt
- 5ye-³t sin(4t);
y (0) = 3, y (0) = 10
dt²
3.) +4
бу
=
-12 y (0) = 1, y' (0) = 4, y' (0) = -2
dt
d'y
dt²
+
Transcribed Image Text:PLEASE ANSWER ALL THE PROBLEM, THANK YOU! Solve each of the following by Laplace Transform: d'y 1.) +2 +y=sinh 3t – 5 cosh3t ; y (0)=−2 , y (0) = 5 dt d'y dy 2.) 4 dt - 5ye-³t sin(4t); y (0) = 3, y (0) = 10 dt² 3.) +4 бу = -12 y (0) = 1, y' (0) = 4, y' (0) = -2 dt d'y dt² +
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