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
vovangra [49]
3 years ago
14

Show that y=2e^(−x) cos(x)−e^(−x) sin(x) is a solution to y''+2y'+2y=0.

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

y=2e^(−x)cosx−e^(−x)sinx

Satisfies the equation

Step-by-step explanation:

Answer:

y=2e^(−x)cosx−e^(−x)sinx

y = e^(-x)[2cosx - sinx]

Find y' and y" using product law

y' = -e^(-x)[2cosx - sinx] + e^(-x)[-2sinx - cosx]

y' = -e^(-x)[2cosx - sinx + 2sinx + cosx]

y' = -e^(-x)[3cosx + sinx]

y" = e^(-x)[3cosx + sinx] - e^(-x)[-3sinx + cosx]

y" = e^(-x)[3cosx - cosx + sinx + 3sinx]

y" = e^(-x)[2cosx + 4sinx]

y" + 2y' + 2y

e^(-x)[2cosx + 4sinx] - 2e^(-x)[3cosx + sinx] +2e^(-x)[2cosx - sinx]

e^(-x)[4sinx - 2sinx - 2sinx + 2cosx - 6 cosx + 4cosx]

= e^(-x) × 0

= 0

You might be interested in
1) 448
aivan3 [116]

Answer:

What do I have to do?? I don't understand

3 0
3 years ago
Please help! 10th grade geometry
yuradex [85]

Answer:

m∠C = 118°

Step-by-step explanation:

180 - 56 = 124°

124 ÷ 2 = 62°

180 - 62 = 118°

m∠C = 118°

5 0
2 years ago
Please help asap, need this done tomorrow ​
yanalaym [24]

Answer:

y=2x-2

Step-by-step explanation:

hope that helps

4 0
3 years ago
Also need help for this question!! Someone please help
SVEN [57.7K]
Given profit, 
p(t)=0.4t^2+5.3t-8
After the first year, t=1
p(1)=0.4*(1^2)+5.3*1-8=-2.3
Answer: the annual loss of the coffee shop after the first year (i.e. the second year) is $2,300.
7 0
3 years ago
Am I right or wrong?
omeli [17]

You are absolutely right.

8 0
2 years ago
Other questions:
  • Over the last three evenings, Rita received a total of 91 phone calls at the call center. The third evening, she received 2 time
    7·1 answer
  • what is a width of a rectangle prisim if the volume is 50046 cm 3 the hight is 7 cm and the llength is 13 cm
    11·1 answer
  • I Need The Answer Plz I’m Failing Plz
    15·2 answers
  • Find the measure of an isosceles obtuse triangle with one angle that is 32 degrees.
    15·1 answer
  • Convert 54% into a decimal
    8·2 answers
  • Complete the square to form a true equation;<br> x^2-3/4x+__ = (x-__)^2
    11·2 answers
  • Determine the value of y, if x is –12.<br> y= |x| - 5<br><br> pls quickly
    14·2 answers
  • Hi I’m confused marking Brainliest uhm show answer and show ur work pls thx
    8·2 answers
  • A large tank is filled to capacity with 700 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into t
    8·1 answer
  • The area of a circle is 88.44 cm² find the length of the radius rounded to 2 DP
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!