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
Andrews [41]
3 years ago
12

Find the general solution of y''' + 6y'' + y' − 34y = 0 if it is known that y1 = e−4x cos(x) is one solution.

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

Answer:

Step-by-step explanation:

Given is a differential equation of III order,

y''' + 6y'' + y' - 34y = 0

The characteristic equation would be cubic as

m^3+6m^2+m-34=0

By trial and error, we find that

f(2) = 2^3+6(2^2)+2-34 =0\\

Thus m=2 is one solution

Since given that e^{-4x} cos xis one solution we get

m = -4+i and hence other root is conjugate m=-4-i

Hence general solution would be

y=Ae^{2x} +e^{-4x} (Bcosx +C sinx)

You might be interested in
Hii! hopefully you can answer this :)
Gekata [30.6K]

Answer:

1.C

2.A

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Hola
coldgirl [10]
Vertex is (-5,-10) y intercept of g is (0,-1) zeroes of h are x=-3,1
8 0
2 years ago
Working as a team 8 mathletes can solve 20 problems in ten minutes. At this same rate how many mathletes are needed in order to
emmainna [20.7K]
7 is the right answer(please rate 5.0 stars so i can help other people out thanks)
8 0
3 years ago
Read 2 more answers
Factor of 169 and 9 squared
emmasim [6.3K]

Answer:

The greatest common factor of 169 and 81 is 1.

Step-by-step explanation:

9 squared is 81 and the greatest common factor of 169 and 81 is one. They have no other common factors. Please mark me brainliest and I hope this helps!

3 0
3 years ago
When making a horizontal translation your y-value changes and when making a vertical translation your x-value changes. true or f
Ann [662]
False
The horizontal translation is from left to right which affects the x-value while the vertical translation is up to down which affects the y-value

Good luck!
3 0
2 years ago
Other questions:
  • What is used to determine land biome?
    10·2 answers
  • What are two decimals whose product is close to 10
    5·2 answers
  • Simplify expression (7+x)+7x
    14·1 answer
  • Compare simplifying before multiplying fractions with simplifying after multiplying the fractions
    6·2 answers
  • Taxicabs downtown charge a flat fee of $3.25, plus a state tax of $0.50, plus $0.50 for each 1/ 5 mile they travel with a passen
    8·1 answer
  • Which of the following values is equal to − (−4.3)?<br><br> A) -4.3<br> B) 0<br> C) 4<br> D) 4.3
    15·2 answers
  • A point is reflected across the x-axis. The new point is (7.5,6). What is the distance between these two points?
    8·1 answer
  • Word form for 1,205.57
    14·2 answers
  • MATH HOMEWORK HELP PLEASE
    15·1 answer
  • Forces 1 N, 2 N and 3 N act at a point in direction parallel to the side of an equilateral AB triangle taken in order. Find thei
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!