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
vekshin1
3 years ago
14

Verify that the indicated function y = ϕ(x) is an explicit solution of the given first-order differential equation. (y − x)y' =

y − x + 8; y = x + 4 x + 3
Mathematics
1 answer:
JulijaS [17]3 years ago
4 0

Answer:

The function y = x + 4x - 3 is not a solution of the given differential equation.

Step-by-step explanation:

Verify that a function f (x) is a solution to a differential equation, consists in finding the derivatives of the function and entering them into the equation. If the given function, indeed, is the solution, equality must be checked.

y = x + 4x +3 = 5x+3\\\\y' = 5\\\\\left(y - x\right)y' = y - x + 8\\\\\left(5x + 3 - x\right)\left(5\right) = 5x + 3 - x + 8\\\\\left(4x + 3\right)\left(5\right) = 4x + 11\\\\20x + 15 = 4x + 11\\\\

The function y = 5x - 3 is not a solution of the given differential equation

You might be interested in
If a car goes 204 miles in 3 hours, how far will it go in 7 1/2?​
jasenka [17]
510 miles, 204/3 = 68
68x7.5= 520
5 0
3 years ago
Prove the quotient rule. hint: you can do this directly, but it may be easier to find the derivative of 1/x and then use the cha
Bess [88]
The quotient rule is
d(u/v) = (u dv - v du) / u2

d(u/v) can written as
d( u (1/v) )

Using the product rule and chain rule
d( u (1/v)) = u d(1/v) + (1/v) du
= u (-1/v2) dv + (!/v) du
= (u dv - v du) / u2
5 0
3 years ago
PLS HELPPPP equation of the line that is parallel to the line y − 3x = 4 and passes through the point (0, −3)
Volgvan

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 3x = 4 ( add 3x to both sides )

y = 3x + 4 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = 3x - 3 ← equation in slope- intercept form

8 0
3 years ago
suppose you toss a coin 100 times and get 60 heads and 40 Tails based on these results what is the probability that the next fli
8_murik_8 [283]
It is stil half becuase the real probability doesnt change
4 0
3 years ago
Miss Davis buys a loaf of bread for $4.25 and sevreal cans of soup for $1.50 each Miss Lee Buys Loaf of bread for the same cost
lina2011 [118]

Answer:

y= x less than 1.5 +4.25

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Write two equivalent ratios 6/5
    15·2 answers
  • A scale drawing of a bedroom is shown below. The scale is 1 : 30. A rectangle is shown. The length of the rectangle is labeled 3
    10·2 answers
  • (K² – 30k - 18 - 4K²) ÷ (3+k).​
    9·1 answer
  • Kite K N M L is shown. Sides L K and K N are congruent. The length of L K is 2 y + 5 and the length of K N is y + 10. Sides N M
    15·2 answers
  • 3.75x - 5 - 8.75x + 4.5 + 0.5
    7·1 answer
  • I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer schoo
    12·1 answer
  • What is the value of the expression =2 ?<br> 0<br> 2
    6·2 answers
  • Hi I need help with this problem. can anyone you tell me what 5+(-3)​
    15·2 answers
  • Tyson can type 49 words per minute. How long will it take him to type a 1000-word essay?
    13·1 answer
  • Multiply 78 by a fraction that is equivalent to 1.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!