PLEASEE HELP!!!!!!!!!!! QUESTION IS IN THE IMAGE
1 answer:
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Answer:
Step-by-step explanation:
DE given is
y''+8y'+15y=0, y(0)=0, y'(0)=1
Take Laplace on the DE
We get
Simplify to get
Y(s) =
Take inverse
O.K.
(h; k) are the coordinates of the vertex.
On the graph are (3; 4), therefore we have:
We have the x-intercept (1; 0) → x = 1; y = 0.
Substitute them in the equation:
so. We have the answer:
(h; k) are the coordinates of the vertex.
On the graph are (3; 4), therefore we have:
We have the x-intercept (1; 0) → x = 1; y = 0.
Substitute them in the equation:
so. We have the answer: