An object which moves horizontally with velocity of v fulfill the equation below : d²v_dv_6v-te-²¹, dt dt² which at initial V(s) = t=0, v= 1 dan 1+(s+2)³ (s-3)(s+2)³ Then, it is given that : Show that the Laplace transformation for v(t) is as below L-¹ 1 (s-3)(s+2)³ dv Determine the function of the velocity v. dt = 3. -21 ( 125 25,2). est-1-5t--

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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An object which moves horizontally with velocity of v fulfill the equation below :
d²v_dv_6v-te-²¹,
dt
dt²
which at initial
V(s) =
t=0, v= 1 dan
1+(s+2)³
(s-3)(s+2)³
Then, it is given that :
Show that the Laplace transformation for v(t) is as below
[^{{
dv
1
(s-3)(s+2)³
dt
Determine the function of the velocity v.
= 3.
-21
} - 1235 (0²-1-51-25 ₁²),
Transcribed Image Text:An object which moves horizontally with velocity of v fulfill the equation below : d²v_dv_6v-te-²¹, dt dt² which at initial V(s) = t=0, v= 1 dan 1+(s+2)³ (s-3)(s+2)³ Then, it is given that : Show that the Laplace transformation for v(t) is as below [^{{ dv 1 (s-3)(s+2)³ dt Determine the function of the velocity v. = 3. -21 } - 1235 (0²-1-51-25 ₁²),
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