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
vaieri [72.5K]
3 years ago
13

How to find the general solution to y"'+2y"-4y'-8y=0?

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0
y'''+2y''-4y'-8y=0

has characteristic equation

r^3+2r^2-4r-8=r^2(r+2)-4(r+2)=(r^2-4)(r+2)=(r-2)(r+2)^2=0

which has roots at r=\pm2. The negative root has multiplicity 2. So the general solution is

y=C_1e^{2x}+C_2e^{-2x}+C_3xe^{-2x}
You might be interested in
NEED HELP ASAP PLEASE ON ALL OF THEM !!!!
ludmilkaskok [199]
SNKRS watch Poseidon last by laughably Lance
5 0
3 years ago
A company rents out 15 food booths and 23 game booths at the county fair. The fee for a food booth is $75 plus $9 per day. The f
Lapatulllka [165]

Answer:

M =  2620 + 16d

M = total money paid or earned

d = # of days

Step-by-step explanation:

15  food

23 game

Total Money  =  M = 15 * 75  + 9 d   +  23* 65  + 7d

M = 15 * 75  + 9 d   +  23* 65  + 7d

M  =  1125  + 1495 + 16d

M =  2620 + 16d

5 0
3 years ago
Given: <PQR is a right angle Prove: <PQS and <SQR are complemantary​
amm1812

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)

we have that

m∠PQR=90° ----> equation B given problem (because is a right angle)

substitute equation B in equation A

m∠PQS+m∠SQR=90°

Remember that

Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)

therefore

m∠PQS and m∠SQR are complementary angles

3 0
3 years ago
8=Z/16<br><br><br> Hint: equation and rational coefficient
sergiy2304 [10]

Answer:

z=128

Step-by-step explanation:

z/16=8

z=8*16

z=128

8 0
3 years ago
Help pls i don’t know how to do this
SOVA2 [1]

Answer:

If the question is asking which of the following is not a true statement, then the correct answer is: D. |5| > -5

Step-by-step explanation:

Absolute value signs, make any number in between, positive.

B is correct, as 5 equals 5. C, is correct, as 5 equals 5. So since, those two answers are the same thing, the answer is either option A or option D.  A is saying -5 is less than 5 since the symbol would be "eating" the smaller number, if imaginging crocidle, or pointing towards the larger number if envisioning an arrow.  D would be inccorect as it is stating that 5 is less than -5.

6 0
3 years ago
Other questions:
  • In order to circumscribe a circle on a triangle, which line must you construct?
    10·1 answer
  • The orginal price for a gallon of milk is $4.19. The sale price this week for a gallon of milk is $2.99. What is the percent dec
    15·2 answers
  • A scientist is studying certain germs. She places 3 germs in a special solution that will help the germs grow. The number of ger
    11·1 answer
  • Ty had 50 tickets for games at a carnival.He used 1/5 of the tickets to play the ball-toss game.He then used 1/2 of the remainin
    11·2 answers
  • Becky spent 2/3 of her piano practice time on her recital piece. If she spent 25 min. on other pieces how many hours did Becky s
    13·1 answer
  • Need help asap please ​
    6·2 answers
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
    8·2 answers
  • Convert 15 meters per second into kilometers per hour.
    7·2 answers
  • I am giving brainliest pls help asap
    12·2 answers
  • Help! This question is extremely confusing! WILL GIVE A LOT OF POINT!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!