1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Valentin [98]
3 years ago
11

Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5

Use v to represent the "velocity function", i.e. v=u′(t). Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.)

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer:  v = 5v + 4u + 1.5sin(3t),

  • 0
  • 1
  •  4
  • 5
  • 0
  • 1.5sin(3t)
  • 1
  •  2.5

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1

v represents the "velocity function"   i.e   v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )

    = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt \left[\begin{array}{ccc}u&\\v&\\\end{array}\right]= \left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]  \left[\begin{array}{ccc}u&\\v&\\\end{array}\right] + \left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]  = \left[\begin{array}{ccc}1\\2.5\\\end{array}\right]

You might be interested in
H divided (3+y) what is the answer need asp
Hunter-Best [27]

Answer:

H Divided by (3+y) is equivalent to H/(3+y)

Step-by-step explanation:

Hope This Helps!

6 0
2 years ago
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
irakobra [83]
Answer:891

Explanation:
1st term+common difference(desired term-1)

5+4(100-1)
9(100-1)
9•99
891
6 0
3 years ago
use figure 8.1. tulio fernadez purchased a treadmill with an installment loan that has an apr of 12 percent. the treadmill sells
natima [27]
Hope this helps

Answer: 204.1

Expiation
8 0
3 years ago
Read 2 more answers
alice drank 18 ounces of gatorade after her gymnastic meet. there were 14 ounces left.How many ounces of gatorade was origanally
nikdorinn [45]

Answer:

32 ounces

Step-by-step explanation:

18+14=32

32 is the total

3 0
3 years ago
Read 2 more answers
What is the value of x?<br><br> Enter your answer in the box.
devlian [24]

Answer: 26

Work: 90 - 64 = 26

This is the rule for complementary angles that are equal to 90 degrees.

3 0
3 years ago
Other questions:
  • Round 2,767,545 to the nearest ten ASAP !!!!!!!!!!!!!!!
    5·2 answers
  • 15 liters increased by 60%
    10·1 answer
  • Ms. Costello borrows $5000 from a
    8·1 answer
  • Graph y less than or equal to 3x
    6·2 answers
  • What is the area of a triangle with a base of 8 yards and a height of 3 yards
    15·2 answers
  • What is the value of x in trapezoid ABCD?<br>x=15<br>x=20<br>x=45<br>x=60<br>​
    13·2 answers
  • Which figure is described below?
    7·1 answer
  • Simplify 5/6 (-2y + 3)
    8·1 answer
  • El agua de una psicina alcanza 250 cm de altura. Si la estatura de pablo es 1520 mm dentro de la piscina sin que el agua lo cubr
    6·1 answer
  • In an experiment, a number cube is rolled 4 times. The number of times a 5 shows is recorded. Sixty trials of the experiment are
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!