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
Dmitrij [34]
2 years ago
13

1) Find the general solution to the following differential equation x^3•y’- y = 0

Mathematics
1 answer:
maxonik [38]2 years ago
6 0

Answer:

y(x) = c_1 e^(-1/(2 x^2))

Step-by-step explanation:

Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:

Solve for (dy(x))/(dx):

(dy(x))/(dx) = y(x)/x^3

Divide both sides by y(x):

((dy(x))/(dx))/y(x) = 1/x^3

Integrate both sides with respect to x:

integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx

Evaluate the integrals:

log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.

Solve for y(x):

y(x) = e^(-1/(2 x^2) + c_1)

Simplify the arbitrary constants:

Answer:  y(x) = c_1 e^(-1/(2 x^2))

You might be interested in
If a bullentin board is 6 ft wide and 4 ft tall. what are the deminsions inside
SOVA2 [1]
If you are looking for the area the answer would be 24 ft. tall because 6*4 is 24
6 0
3 years ago
Which of the following will NOT improve your credit score?
Law Incorporation [45]
A. Taking out a new car loan
3 0
3 years ago
How to solve x/-3-2=5.5
amid [387]
Okay first set up the equation

 x
---      -2     = 5.5
-3

add over the 2

 x
---  = 7.5
-3

now you need to multiply the denominator by the answer

(-3)(7.5) = x
-22.5 = x
3 0
3 years ago
70 hundred is equal to how many thousands
Ann [662]
70 x 100 = 7,000

Therefore, 70 hundred is equal to 7 thousands.
8 0
3 years ago
What is the surface area of a rectangle that is 6, 4, 4?
Alex

Answer:

128 squared feet

Step-by-step explanation:

A=2(wl+hl+hw) is the formula if  you multiply the edges the add then twice because of the 3d shape you get 128.

4 0
3 years ago
Other questions:
  • Jenny ball bounced 8 times farther than clarks ball. The two balls bounced a total distance of 36 inches. How far did Jenny's ba
    13·1 answer
  • Please help me i need help
    8·2 answers
  • Which figure is not a polygon? A. Figure A B. Figure B C. Figure C D. Figure D
    15·2 answers
  • Prove the identity with steps.
    10·1 answer
  • an equation has a slope of -14 and passes through the point, (1,0) what is the slope of the equation of the line when written in
    5·2 answers
  • If Dr. King’s 1000 kg horse was accelerating at 30 m/s2, with what force was the horse traveling with?
    15·1 answer
  • 20 points.<br><br>Solve for x.​
    5·2 answers
  • . Solve the system of equations using the Elimination Method.
    13·1 answer
  • Write the expresion in simplest form<br> (-11/2x+30)-2(-11/4x-5/2)
    14·1 answer
  • Slope of (0,1) and (4,3)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!