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
Rudiy27
2 years ago
7

The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th

e solution which also satisfies the initial condition y(3)= 3.
Mathematics
1 answer:
Rufina [12.5K]2 years ago
4 0

Answer:

c = 1190.2

Step-by-step explanation:

We have the following solution:

y(x) = ce^{-2x} + e^{-x}

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

y(x) = ce^{-2x} + e^{-x}

y(3) = ce^{-2*3} + e^{-3}

3 = ce^{-6} + e^{-3}

3 = ce^{-6} + 0.0498

ce^{-6} = 2.9502

c = \frac{2.9502}{e^{-6}}

c = 1190.2

You might be interested in
Find the GCF of 24 and 108.
Veronika [31]

Answer:

The GCF Is 12

Step-by-step explanation:

12 can go into 24 2 times, and 12 can go into 108 9 times.

Give brainliest.

6 0
3 years ago
Read 2 more answers
Please help.... me on this question
Sonja [21]

Answer:

a = 30 degrees; b = 60 degrees; and c = 105 degrees.

Step-by-step explanation:

Angle a and the 30 degree angle are vertical angles and thus are equal.

Since the interior angles of a triangle always add up to 180 degrees, 30 + b + 90 degrees = 180 degrees, so that b must be 60 degrees.

Angle c and the 75 degree angle are straight angles, and so their sum must be 180 degrees.  Thus, c = 105 degrees.

8 0
2 years ago
5x + y =7<br> 20x + 2 = y
kodGreya [7K]

Answer:

y = 6

x = 0.2

Step-by-step explanation:

5x + y =7

20x + 2 = y

5x(4) + y(4) = 7(4)

20x + 4y = 28

(20x = 28 - 4y) = (20x = y - 2)

28 - 4y = y - 2

30 - 4y = y

30 = 5y

y = 6

5x + y =7

20x + 2 = y

y = 7 - 5x

7 - 5x = 20x + 2

5 - 5x = 20x

5 = 25x

x = 0.2

4 0
3 years ago
Explain in words how to find the product of -4 (-1.5) using a number line.where do you end up
Ierofanga [76]

Answer:

To multiply two minus numbers they  will result as a positive number.

the product of any numbers when there is a negtive will always have 2 negtives invlved form three numbers including the answer.

-4 x -1.5 is the same as 4 x 1.5

the answer is  6

Three numbers like -1 x  4 will also be 2 numbers of negative.

= -4

We change this to -4 x 1.5 and shows the answer as -6

But the question had 2 negative numbers already and the answer is just positive 6.

8 0
3 years ago
Read 2 more answers
Solve the following system of equations graphically.
fiasKO [112]

Step-by-step explanation:

work is shown and pictured

8 0
3 years ago
Other questions:
  • Can you help me find the answer
    5·1 answer
  • Determine which of the following statements is true for the function g(x) = 4x^5 - 3x^6 + 2x^3 - 1.
    9·1 answer
  • 1/8 multiplied by 1/8 is what ?
    11·2 answers
  • What is the distance between (8,-3) and (4,-7) ?​
    10·1 answer
  • Pose a problem: kyle went to a fruit market. The market sells a wide variety of fruits and vegetables. Write a problem that can
    10·2 answers
  • The angle of elevation from a viewer to the center of a fireworks display is 55°. If the viewer is 75 yards away from where the
    13·1 answer
  • Estimate the number number of the birds on the tree ​
    6·1 answer
  • Please answer need help asap!!
    9·1 answer
  • Available Answers<br> A. 6<br> B. 9<br> C. 21<br> D.30
    12·2 answers
  • Mai made 50 flyers for five volunteers in her club to hang up around school. She gave 5 flyers to the first volunteer, 18 flyers
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!