Question

In: Advanced Math

solve the edo below by laplace transform A metal plate is 50 cm long, at the...

solve the edo below by laplace transform

A metal plate is 50 cm long, at the end x = 0 to
plate temperature is = 980K. The one-dimensional temperature distribution on the plate
metal is given by the following EDO,d^2T/dx=144T+12 Knowing that T '(0) = 0. Solve for
Laplace and find the algebraic equation that represents Temperature as a function of
plate length X.

answer

T(x) = -1/12 + 490,04 e^-12x + 490,04 e^12x

The mathematical model describes the behavior of a pendulum and is
represented by:

0,5 dQ/dt=24sen(t)+15

One person holds the pendulum and releases it, Q = 0 at t = 0s. Describe this behavior of the pendulum finding the amplitude equation as a function of time. Sketch the graph. On what height is the pendulum when t = 7s?

answer:Q(t) = 48(1 – cost) + 30t

Solutions

Expert Solution

Colby Messinger answered 2 years ago
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