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
Sliva [168]
2 years ago
5

Simplify your answer to the previous part and enter a differential equation in terms of the dependent variable xx satisfied by x

=e5t. Enter the derivatives of xx using prime notation (x′,x′′,x′′′x′,x″,x‴).
Mathematics
1 answer:
rusak2 [61]2 years ago
7 0

Answer:

x'-5x=0, or x''-25x=0, or x'''-125x=0

Step-by-step explanation:

The function x(t)=e^{5t} is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.

Using rules of differentiation, we obtain that x'(t)=5e^{5t}=5x \text{ then }x'-5x=0. Differentiate again to obtain, x''(t)=25e^{5t}=25x=5x' \text{ then }x''-25x=0=x''-5x'. Repeating this process, x'''(t)=125e^{5t}=125x=25x' \text{ then }x'''-125x=0=x'''-25x'.

This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.

You might be interested in
Which of the following tables does not represent a linear relationship between x and y?
vovangra [49]

Answer:

The first one is not liner

Step-by-step explanation:

This isn't linear because the y values increase inequally. It adds 2 and then 3 instead of keeping a constant rate

6 0
3 years ago
The quotient of three and the quantity of three less than one-sixth of a number x?
UkoKoshka [18]
\frac{3}{\frac{x}{6}-3}=\frac{3}{\frac{x-18}{6}}=3*\frac{6}{x-18}=\frac{18}{x-18}
Good, right?
7 0
3 years ago
6. What is the measure of EGF?*
pishuonlain [190]

Answer:

the answer will be 40.18

Hopefully I am right

All the best !!

6 0
3 years ago
Solve the equation.
SIZIF [17.4K]
It would be A x=1/2 i hope this helped
4 0
3 years ago
Read 2 more answers
Please solve for the hypotenuse of a right triangle having legs 6 and 8. *
Arturiano [62]

Answer:

10

Step-by-step explanation:

6²+8²

=100

√100

=10

6 0
3 years ago
Other questions:
  • Charlie has an adult Netherlands dwarf rabbit that weighs 1.2 kilograms. Cliff's adult Angora rabbit weighs 2.9 times as Charlie
    15·2 answers
  • for v= 4i - 5j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vec
    7·2 answers
  • each question sandra answers incorrectly changes her overall score by -3/4 points. sandra's overall score was -4 1/2 points, and
    6·1 answer
  • Combine like terms:
    12·1 answer
  • Divide ratio <br><br> £360 in the ratio 1 : 8
    8·1 answer
  • Find roots of 4x^2-2x+9
    15·1 answer
  • The sum of two numbers is 52. The difference of the two numbers is 6. Find the two numbers.
    5·1 answer
  • A major credit card company requires monthly payments equal to or greater than 8% of the total balance.A consumer has a credit c
    11·1 answer
  • if you put $300 into a savings account and the bank account has a 4% annual compound interest-rate, find how much money will be
    15·1 answer
  • Identify the vertex of the graph. Tell whether it is a minimum or maximum.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!