dt C dt
R C 2
0 and θ are given by the following eq 2 0
Homework Answers
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Provide the process for obtaining the solutions of the first equation, which is the equation of step response, and the...
For an ideal gas, ∆ = ∆T, and = (3/2)R. A good first step is to...
For an ideal gas, ∆
=
∆T, and
= (3/2)R. A good first step is to calculate the temperature at
each of the for states numbered 1-4. Summarize the results in a
table and answer this question:
a. Of the following quantities, which are zero for a cyclic
process: U, w, q?
mu processes. Suppose that 0.0500-mole of an ideal monatomic gas undergoes the reversible cyclic process shown below. Calculate w, 9, and AU for each step and for the...
An autonomous system of two first order differential equations can be written as: A third order...
An autonomous system of two first order differential equations can be written as: A third order explicit Runge-Kutta scheme for an autonomous system of two first order equations is Consider the following second order differential equation, Use the Runge-Kutta scheme to find an approximate solutions of the second order differential equation, at t = 1.2, if the step size h = 0.1. Maintain at least eight decimal digit accuracy throughout all your calculations. You may express your answer as a...
Consider the linear differential equation , with given matrix. Provide an example of for which the Lyapunov condition for the stability of the origin is satisfied and show the consequences on the O...
Consider the linear differential equation , with given matrix. Provide an example of for which the Lyapunov condition for the stability of the origin is satisfied and show the consequences on the ODE solutions. We were unable to transcribe this imagenxn We were unable to transcribe this image nxn
Consider the differential equation for , which models a population of fish with harvesting that...
Consider the differential equation for , which models a population of fish with harvesting that is governed by the logistic equation and a number of fish H caught and removed every unit of time (harvesting). Here the parameters r, K, and H are all positive. a) Assume that . Draw the phase plane. b) Assume that . What happens to the population of fish as t increases? Can I have a step-by-step walkthrough on how to solve these two. I...
ODE problem Implicit equation.2 Consider the ODE (a) Solve the equation by first obtaining explicit equation(s)...
ODE problem
Implicit equation.2 Consider the ODE (a) Solve the equation by first obtaining explicit equation(s) for y. Here y : R → R is a scalar function. Your answer should be a family of solution parameterized by a single (b) Show that the function y(x) 0 also solves the equation even though it does not belong (c) Sketch a few representative functions of the family found in part (a) together with the parameter (an integration constant). to the family...
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x,...
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x, t) = Acos(kx − t) where A, k, are positive constants. 2. h(x, t) = Ae where A, k, are positive constants. 3. p(x, t) = Asinh(kx − t) where A, k, are positive constants. 4. q(x, t) = Ae where A, a, are positive constants. 5. An arbitrary function: f(x, t) = f(kx−t) where k and are positive constants. (Hint: Be careful with...
will leave positive reviews previous questions In addition to the transient response charactcristics considered above, we...
will leave positive reviews
previous questions
In addition to the transient response charactcristics considered above, we are often interested in tho steady-state response of the system to a step reference input R(s) and constant disturbance input Ta(s) the disturbance input is used to model the friction in the motor. Pre-Lab Question 8 (3 marks) Show thal total oulput respose to the reference and disturbance inpuls n the Laplace domain is given by: (14) Tos Pre-Lab Question 9 (2 marks) What...
2. Show that if are analytical functions in an environment of the point y so the equation solutions: they are al...
2. Show that if are analytical functions in an environment of the point y so the equation solutions: they are also analytical functions in a certain environment of the same point, what form do the solutions have? P(), Q), R(x) We were unable to transcribe this imageP(x0 P Qy (x)R()y(x) 0 P(), Q), R(x) P(x0 P Qy (x)R()y(x) 0
Please help solve this, using the equation to get through the problem. Additional information: where the...
Please help solve this, using the equation
to get through the problem.
Additional information:
where the initial position
, the initial speed
The above differential equation can also be written as:
If
, there is light damping where the solution has the form ( where r
and w are two positive constants)
or
If
there is heavy damping where,
where
and
are two positive constants
If
there is critical damping where,
where r is a positive constant
d'y dy ma...
Let two times differentiable in the point . The first and second order differentiable equation of...
Let
two times differentiable in the point
. The first and second order differentiable equation of in , imply that
the functions
and
, given by:
satisfies
and
.
Prove that if
with
then it satisfy
f: RR a ER f We were unable to transcribe this imageተ ፖ : R Ꭱ : ] . r(h) = f(a+h)-f(a) – f'ah R(t) = f'(a +t) - f'(a) - f"(a)t r(h) lim h 0 h -0 lim R(t) h 0 u:R u(w)...
For an ideal gas, ∆
=
∆T, and
= (3/2)R. A good first step is to calculate the temperature at
each of the for states numbered 1-4. Summarize the results in a
table and answer this question:
a. Of the following quantities, which are zero for a cyclic
process: U, w, q?
mu processes. Suppose that 0.0500-mole of an ideal monatomic gas undergoes the reversible cyclic process shown below. Calculate w, 9, and AU for each step and for the...
ODE problem
Implicit equation.2 Consider the ODE (a) Solve the equation by first obtaining explicit equation(s) for y. Here y : R → R is a scalar function. Your answer should be a family of solution parameterized by a single (b) Show that the function y(x) 0 also solves the equation even though it does not belong (c) Sketch a few representative functions of the family found in part (a) together with the parameter (an integration constant). to the family...
will leave positive reviews
previous questions
In addition to the transient response charactcristics considered above, we are often interested in tho steady-state response of the system to a step reference input R(s) and constant disturbance input Ta(s) the disturbance input is used to model the friction in the motor. Pre-Lab Question 8 (3 marks) Show thal total oulput respose to the reference and disturbance inpuls n the Laplace domain is given by: (14) Tos Pre-Lab Question 9 (2 marks) What...
Please help solve this, using the equation
to get through the problem.
Additional information:
where the initial position
, the initial speed
The above differential equation can also be written as:
If
, there is light damping where the solution has the form ( where r
and w are two positive constants)
or
If
there is heavy damping where,
where
and
are two positive constants
If
there is critical damping where,
where r is a positive constant
d'y dy ma...
Let
two times differentiable in the point
. The first and second order differentiable equation of in , imply that
the functions
and
, given by:
satisfies
and
.
Prove that if
with
then it satisfy
f: RR a ER f We were unable to transcribe this imageተ ፖ : R Ꭱ : ] . r(h) = f(a+h)-f(a) – f'ah R(t) = f'(a +t) - f'(a) - f"(a)t r(h) lim h 0 h -0 lim R(t) h 0 u:R u(w)...
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