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
telo118 [61]
3 years ago
11

Find the value of a so that the differential equation y ' − xy − 6x = 0 has a solution of the form y(x) = a + bex2/2 for any con

stant
b.

Mathematics
2 answers:
sukhopar [10]3 years ago
8 0

Answer:

a = -6

Step-by-step explanation:

SVEN [57.7K]3 years ago
6 0
Hello,

y=a+be^\frac{ x^{2} }{2} \\\\

y'=a'+b*x*e^\frac{ x^{2} }{2} \\\\

y'-xy-6x=0\\\\

a'+b*x*e^\frac{ x^{2} }{2}-b*x*e^\frac{ x^{2} }{2}-ax-6x=0\\\\

a'=x(a+6)\\\\

 \dfrac{a'}{a+6} =x\\\\

ln (a+6)= \dfrac{x^2}{2} +c\\\\

a=k*e^\frac{ x^{2} }{2}-6\\\\


You might be interested in
Choose the correct answer to the following math problem.
goldfiish [28.3K]

Once... Ocho is 8 and tres is 3

6 0
3 years ago
Read 2 more answers
A pentagon has all equal sides.it’s perimeter is
jonny [76]
A perimeter is the total length of all the sides combined. Since a pentagon has five sides, and we’re told every side is equal, we can take the length of any one side and multiply it by 5 to get the value of the perimeter.
8 0
2 years ago
Can someone please help I’m very confused
Oxana [17]

y + 6 = 4/3(x - 2)

First, distribute the 4/3

y + 6 = 4/3x - 8/3

Subtract 6 from both sides.

y = 4/3x - 26/3

-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)

After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.

0 + 3 = 3

-26/3 + 4 = -14/3

The next point should be at (3, -14/3)

Add as many points as your professor requires.

8 0
3 years ago
Read 2 more answers
Gabriel has already 200 pages of his 530-page number reading book. If he reads at an a average rate of 55 pages per hour, how lo
Dafna1 [17]

Answer: 55x +200 = 530           x=6

Step-by-step explanation:

55x +200 = 530

-200                       -200

-------------------------------------------

55x = 330

divide by 55 on both sides

-------------------------------------------------

x=6

5 0
3 years ago
Find (f o g)(x)<br> Consider f(x) = x + 7 and g(x) = x2 –1
natima [27]
<h3>Answer:  x^2 + 6</h3>

Work Shown:

(f o g)(x) = f(g(x))

f(x) = x + 7

f( g(x) ) = g(x) + 7 ... replace every x with g(x)

f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1

f( g(x) ) = x^2 + 6

(f o g)(x) = x^2 + 6

3 0
2 years ago
Other questions:
  • At 5:45 p.m., a jet is located 108 mi due east of a city. A second jet is located 214 mi due north of the city. To the nearest t
    6·2 answers
  • Which line most accurately represents the line of best fit for the scatter plot?
    9·2 answers
  • Write an equation in slope-intercept form that goes through the point (5, -3) and is parallel to y = 3x - 1.
    11·1 answer
  • I NEED HELP PLEASE, THANKS! :)
    7·1 answer
  • What is the simplest form of 3 square root of 250
    8·1 answer
  • Genevieve forgot the last two digits of her four-digit locker code: 21?? If the number is divisible hy 5,6, and 7, what is Genev
    13·1 answer
  • -x-8y=-18<br> x +9y=21<br> A) (-6,3) B) (6, -3)<br> c) (6,9)<br> D) (6,3)
    8·1 answer
  • 1 jar has 26 fluid ounces how many cups do 4 jars contain
    14·2 answers
  • What is the slope and y-intercept? write the equation. also sorry it’s so late
    9·2 answers
  • HELP PLS!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!