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lovelysoul4698
13.11.2020 •
Mathematics
Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. The bases of the prism are right triangles. Isabel’s new fish tank will look like the diagram below but it will be twice the height of the prism shown in the diagram. What is the lateral surface area of Isabel’s fish tank?
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Ответ:
The ODE
y''' - 7y'' + 8y' + 16y = 0
has characteristic equation
r ³ - 7r ² + 8r + 16 = 0
which can be factorized as
(r - 4)² (r + 1) = 0
Then the characteristic solution to the ODE is
y(x) = C₁ e ⁴ˣ + C₂ x e ⁴ˣ + C₃ e ⁻ˣ