Consider the following. d²y dt2 d²y d?x + dt2 d²x 6t dt2 x(0) = 7, x(0) = 0, y(0) = 0, y'(0) = 0 II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Consider the following.
d?x
d?y
= t2
dt?
dt?
d?x
d?y
dt?
= 6t
dt?
x(0) = 7, x'(0) = 0,
y(0) = 0, y'(0) = 0
Give the following derivatives in terms of t.
2 - 3t
d?x
dt?
?+ 6t
d?y
dt2
2
Use the Laplace transform to solve the given system of differential equations.
1 4
7+
1,3
x(t) =
24
+4
1.3
y(t) =
24
Transcribed Image Text:Consider the following. d?x d?y = t2 dt? dt? d?x d?y dt? = 6t dt? x(0) = 7, x'(0) = 0, y(0) = 0, y'(0) = 0 Give the following derivatives in terms of t. 2 - 3t d?x dt? ?+ 6t d?y dt2 2 Use the Laplace transform to solve the given system of differential equations. 1 4 7+ 1,3 x(t) = 24 +4 1.3 y(t) = 24
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