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
soldi70 [24.7K]
3 years ago
12

The differential equation y′′=0 has one of the following two parameter families as its general solution: yyyy=C1ex+C2e−x=C1cos(x

)+C2sin(x)=C1tan(x)+C2sec(x)=C1+C2x Find the solution such that y(0)=2 and y′(0)=10. y(x)=
Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

y_c = 2 + 10*x

Step-by-step explanation:

Given:

                                                y'' = 0

Find:

- The solution to ODE such that y(0) = 2, y'(0) = 10

Solution:

- Assuming a solution y = Ce^(mt)

So,                                y' = C*me^(mt)

                                    y'' = C*m^2e^(mt)

- Back substitute into given ODE, we get:

                                    y'' = C*m^2e^(mt) = 0

                                    e^(mt) can not be equal to zero

- Hence,                       m^2 = 0

                                     m = 0 , 0 - (repeated roots)

- The complimentary function for repeated roots is:

                                    y_c = (C1 + C2*x)*e^(m*t)

                                    y_c = C1 + C2*x  

- Evaluate @ y(0) = 2

                                    2 = C1 + C2*0

                                    C1 = 2

-Evaluate @ y'(0) = 10

                                    y'(t) = C2 = 10

Hence,                         y_c = 2 + 10*x

You might be interested in
During the Playoff the schools football team has on average 30% their games than during the regular season. The average for this
exis [7]

Answer:12000

Step-by-step explanation:

During the Playoff the schools football team has on average 30% their games than during the regular season

The average for this year's playoffs attendance was 15,600 fans

To get the number of fans during a regular season goes thus:

Since there is an increase of 30%, we add 100% to 30% which gives:

100% + 30% = 130%

= 15600 ÷ 130%

= 15600 ÷ 130/100

= 15600 × 100/130

= 15600 × 0.7692

= 12000

There are 12000 fans during a regular season

5 0
3 years ago
Read 2 more answers
If f(x) = x + 7 and g(x)=1/x, what is (f o g)(x)?
Black_prince [1.1K]

Answer: 1/x + 7

Step-by-step explanation: you plug the function g(x) into the function f(x) .. substitue g(x) for the x in f(x)

G(x) = 1/x , so you plug that in the x of f(x) and get 1/x + 7

8 0
3 years ago
Please helpp mee huhu
horsena [70]

Answer:

Can u show the whole question

8 0
2 years ago
Is -6 over 7 a whole number a integer number or a rational number
vodka [1.7K]

Answer:

It is a rational number

Step-by-step explanation:

It is a rational number because -6/7 is equal to -0.857142 repeating. And a rational number repeats.

Hope this helps☝️☝☝

6 0
3 years ago
Read 2 more answers
Solve in 5 + in 2x = 3
faltersainse [42]

\ln5+\ln 2x=3\\\\\ln10x=3\\\\e^3=10x\\\\x=\dfrac{e^3}{10}

3 0
3 years ago
Other questions:
  • Geometry:
    13·1 answer
  • Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch
    6·2 answers
  • A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Side AB is parallel to side DC so t
    6·2 answers
  • Solve a 66-9a=2(19-3a)
    5·1 answer
  • 1,956 rouded to the nearest 1,000 is :
    5·2 answers
  • A(n) _________________ of a probability experiment is the collection of all outcomes possible. prediction set event set sample s
    8·1 answer
  • PLEASE HELP!!<br><br> Write an equation for the <br> line on the graph below:
    15·2 answers
  • A person walks 1/7 mile in 1/12 hour. the persons speed is _ miles per hour
    5·1 answer
  • Graph x=5. Find and explain the intercepts.
    15·1 answer
  • Can someone plz ummmm help me :)))))) :)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!