+1-415-315-9853

info@mywordsolution.com

## Engineering

 Civil Engineering Chemical Engineering Electrical & Electronics Mechanical Engineering Computer Engineering Engineering Mathematics MATLAB Other Engineering Digital Electronics Biochemical & Biotechnology

All problems in the tasks must be completed correctly with sufficient detail

Analyse engineering problems and formulate mathematical model using first order differential equations

1. Heated object is allowed to cool in the room temperature that has the constant temperature of T0:

a. Analyse cooling process

b. Formulate mathematical model for the cooling process.

2. At time   t= 0 water begins to leak from the tank of constant cross-sectional area A.  Rate of outflow is proportional to h, depth of water in a tank at time t.  prepare constant of proportion kA where k is constant.

a. Analyse tank leaking process.

b. Formulate mathematical model for leaking process.

prepare conclusions based on the formulated mathematical model for the leaking process.

Solve first order differential equations using analytical and numerical methods.

3. Find solution of the following equations:

a.   di/dt  =t(2-5i), i(0)=10

b.     t2(dq/dt) +tq=2

4. Utilize the Euler method with step size shown to advance four steps from given initial condition with given differential equation

dv/dt=2t+v,v(0) =1; h=0.1

Analyse engineering problems and formulate mathematical model using second order differential equations.

5. For simple model of a shock observer shown in figure below:

a. Analyse the model, vertical motion of the mass.

b. Formulate the mathematical model of given model

Solve second order homogeneous and non- homogenous differential equations.

6. Find general solutions of the following equations:

i. d2y/dx2+dy/dx-2y=0

ii. d2y/dx2 + 9y=0

7. Find general solutions of the following equation that satisfy given initial conditions.

d2q/dt2 + dq/dt+q= t2-1

q(0)=0 ,  dq/dt=0,   t=0

Apply first and second order differential equations to solution of engineering situations

8. Velocity v of the rocket attempting to escape from the earth’s gravitational field is given by:

v(dv/dr)= -g(R2/r2)

Where:

r is its distance from the centre of the earth and

R is a mean radius of the earth

Determine the formula for V(r) and find the minimum launch velocity V0 in order that the rocket escapes.

Electrical & Electronics, Engineering

• Category:- Electrical & Electronics
• Reference No.:- M91536

Have any Question?

## Related Questions in Electrical & Electronics

### Suppose a geologist has collected 15 specimens of a certain

Suppose a geologist has collected 15 specimens of a certain rock, call it R1, and 10 specimens of... Suppose a geologist has collected 15 specimens of a certain rock, call it R1, and 10 specimens of another rock, call it ...

### The spacing a between the plates of a parallel-plate

The spacing a between the plates of a parallel-plate waveguide is equal to 5 cm. The dielectric between the plates is free space. If a generator of fundamental frequency 1800 MHz and rich in harmonics excites the wavegui ...

### 1 discuss the general solutions for the line voltage and

1. Discuss the general solutions for the line voltage and current in time-domain and the notation associated with their representation in concise form. 2. What is the fundamental distinction between the occurrence of the ...

### Find the zero-state response yt of the network in fig p44-1

Find the zero-state response y(t) of the network in Fig. P4.4 -1 if the input voltage x(t) = te-tu(t). Find the transfer function relating the output y(t) to the input x(t). From the transfer function, write the differen ...

### For the flow described in problem obtain the differential

For the flow described in Problem, obtain the differential equation of motion if v θ  = f(r; t). Problem:- The device in the schematic diagram below is a viscosity pump. It consists of a rotating drum inside of a station ...

### If the shock-wave velocity in problem is approximated by

If the shock-wave velocity in Problem is approximated by the speed of sound, determine the pressure change causing a velocity change of 10 fps in (a) air at standard conditions; (b) water. Problem:- The shock wave illust ...

### A sketch x omega the amplitude spectrum of a signal x t 3

a. Sketch |X (ω)|, the amplitude spectrum of a signal x (t) = 3 cos 6πt + sin 18πt + 2 cos(28 - ∉)πt, where ∉ is a very small number → 0. Determine the minimum sampling rate required to be able to reconstruct x (t) from ...

### A dc pump connected to a pv module runs a garden water

A dc pump connected to a PV module runs a garden water fountain. The pump I -V curve and the hourly I -V curves for the module are shown. Once the pump starts running, it needs 8 V to keep spinning. At what time in the m ...

### A square plane-strain element is deformed as shown in the

A square plane-strain element is deformed as shown in the figure. The relationship between deformed and undeformed coordinates is given as x 1 = X 1 - αX 1 X 2 , x 2 = X 2 , x 3 = X 3 Compare the engineering strain and L ...

### 1 what is the voltage reflection coefficient at the

1. What is the voltage reflection coefficient at the junction between two transmission lines? How are the current reflection coefficient and the voltage and current transmission coefficients related to the voltage reflec ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

### Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

### Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

### Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

### Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro