Answer:
Laplace transforms turn a Differential equation into an algebraic, so we can solve easier.
y'= pY-y(0)
y"=p²Y - py(0)- y'(0)
Substituting these in differential equation :
p²Y -py (0) -y' (0)-6(pY-y(0)) + 13Y
Substituting in the initial conditions given , fact out Y, and get:
Y( p²-6p+13) = -3
Y=-3/ p²-6p+13
now looking this up in a table to Laplace transformation we get:
y=-3/2.e³т sin(2t)
for the last one, find the Laplace of t∧2 . which is 2/p³
pY - y(0)+ 5Y= 2/p³
Y= 2/p³(p+5)
Taking partial fractions:
Y=-2/125(p+5) + 2/125p - 2/25p² + 2/5p³
Learn more about differential equation here:
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Find the median of the following<br>
data set.<br>
14,24,35,37,43,35,45,24,29,41,45,<br>
37,19,45,44
Mariulka [41]
Answer:
37,43,35 should be the answer to your game
Can you please post a picture of the figure? I don’t see anything
E is exponents, D is division, A is addition
