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
dangina [55]
3 years ago
9

Is the given function phi(x) = x^2 - x^-1 an explicit solution to the linear equation d^2y/dx^2 - 2/x^2 y = 0? Circle your answe

r. (a) yes (b) no
Mathematics
1 answer:
mart [117]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

We are given that a function \phi(x)=x^2-x^{-1}

We have to find that given function is an explicit solution to the linear equation

\frac{d^2y}{dx^2}-\frac{2}{x^2}y=0

If given function is an explicit solution of given linear equation then it satisfied the given differential equation

Differentiate w.r.t x

Then we get \phi'(x)=2x+x^{-2}

Again differentiate w.r.t x

Then we get

\phi''(x)=2-\frac{2}{x^3}

Substitute all values in the given differential equation

2-\frac{2}{x^3}-\frac{2}{x^2}(x^2-x^{-1})

=2-\frac{2}{x^3}-2+\frac{2}{x^3}=0

Hence, given function is an explicit solution of given differential equation.

Therefore, answer is yes.

You might be interested in
Name the algebraic property demonstrated in the example below.
lilavasa [31]
The algebraic property demonstrated in the example below is Transitive Property of Equality. There we can see how the first thing is equal to the second one and notice that the first one is equal to the third one too. This is a  Transitive Property of Equality in a nutshel. 
7 0
3 years ago
A car travels at an average speed of 48 miles per hour. how long does it take to travel 204 miles?
Strike441 [17]
A car travels at an average speed of 48 miles per hour. how long does it take to travel 204 miles?It takes it 4.25 hours

7 0
3 years ago
Can you find the area of a parralllogram with just the length of the diagonals
nekit [7.7K]
No it is not. If you had two fixed diagonals which are attached in the center, when they move it creates different parallelograms. The area would be close to zero if they were parallel.
8 0
3 years ago
WILL GIVE BRAINLIEST
Elenna [48]

Answer:

C is correct

Step-by-step explanation:

do you know why? haha

5 0
2 years ago
Income Statements under Absorption Costing and Variable Costing
kotykmax [81]

The estimated income statement for the month shows a loss of $840000.

<h3>How to illustrate the income statement?</h3>

The estimated income statement for the month will be:

Sales = $25,600,000

Less: Cost of goods sold

Direct materials (320000 × 15) = $4,800,000

Direct labor (320000 × 17) = $5,440,000

Variable costing (320000 × 15) = $11,200,000

Fixed manufacturing cost = $1,530,000

Total cost of goods sold = $22970000

Gross profit = $25,600,000 - $22970000 = $2,630,000

Gross profit = $2,630,000

Less:

Variable selling and administrative expense = $3200000

Fixed selling and administrative = $270000

Loss from operations = $840000

Therefore, the estimated income statement for the month shows a loss of $840000.

Learn more about income statement on:

brainly.com/question/15169974

#SPJ1

5 0
1 year ago
Other questions:
  • Find the measure of angle T to the nearest degree.
    6·1 answer
  • An furniture salesperson sells a couch for $1,560. She receives a 2.75% commission on the sale of the couch.
    12·2 answers
  • Dad bought 17 cookies for a family treat.There are 3 people in the family. How many cookies will each person get? How many will
    7·1 answer
  • Please help im very confused rotate 90 degrees counterclockwise
    9·1 answer
  • What is y=-7+6x in standard form
    5·2 answers
  • PLZ HELP ASAP&gt;&gt;&gt;&gt;&gt;&gt;&gt;
    6·2 answers
  • A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting
    11·1 answer
  • Need help asap with math question! Thx
    13·1 answer
  • A bag contains 2 green, 9 brown, 7 yellow, and 4 blue marbles. Once a marble is selected, it is not replaced. Find each probabil
    7·1 answer
  • Find the gradient of the tangent to the curve y = (√x + 3)(3√x - 5) at the point where x = 1​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!