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
Mashcka [7]
3 years ago
7

Find a general solution of y" - 6y' +10y=0.

Mathematics
1 answer:
babymother [125]3 years ago
4 0

Answer:

y(x) = e^{3x} [Acos x+Bsin x]

Step-by-step explanation:

Given is a differential equation

y" - 6y' +10y=0.

We have characteristic equation as

m^2-6m+10 =0

The above quadratic cannot be factorised hence use formula

m=\frac{6+/-\sqrt{36-40} }{2} \\=3+i, 3-i

Hence general solution would be

y(x) = e^{3x} [Acos x+Bsin x]

You might be interested in
Can someone help with this?
Ivanshal [37]

Answer:

72 beats per minute

Step-by-step explanation:

So if a female has a pulse rate of 80 beats per minute but her pulse rate is lowe by 10%

First, we need to find what 10% of 80 is

.10 Times 80 = 8

Now we subtract 8 from 80

80-8=72

The female has a heartbeat of 72 beats per minute (bpm)

5 0
3 years ago
2/7m-1/7=3/14<br><br> Please solve showing work
lawyer [7]
(2/7)m - (1/7) = 3/14
2m/7 =(3/14) + (1/7)
2m/7 = (3/14) + 2(1/7)
here we are multiplying 2 with 1/7 to make the denominator same for addition.
2m/7 = (3/14) +(2/14)
2m/7 = (3 + 2)/14
2m/7 = 5/14
2m = (5 *7)/14
2m = 35/14
2m = 5/2
m = 5/4
m = 1.25
So the value of "m" is 1.25
7 0
3 years ago
Read 2 more answers
What triangle would be congruent to the original using a reflection over the x axis
aliina [53]
<span><span>Reflection in a Line
<span>Topic Index | Geometry Index | Regents Exam Prep Center</span></span>
<span><span>
        </span><span>A </span>reflection<span> over a line k (notation </span><span>rk</span><span>) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from the line of reflection as the original point but is on the opposite side of the line.  Remember that a reflection is a flip.  Under a reflection, the figure does not change size.  

 </span>
The line of reflection is the perpendicular bisector of the segment joining every point and its image.</span>
<span>A line reflection creates a figure that is congruent to the original figure and is called an isometry (a transformation that preserves length).  Since naming (lettering) the figure in a reflection requires changing the order of the letters (such as from clockwise to counterclockwise), a reflection is more specifically called a non-direct or <span>opposite isometry.

      </span></span></span>http://www.regentsprep.org/regents/math/geometry/gt1/reflect.htm
7 0
3 years ago
Read 2 more answers
Modern Appliances offers a one-year monthly installment plan for a refrigerator. The payment for the first month is $75, and the
GuDViN [60]
75(1-1.06^12/1-1.06) !!
8 0
3 years ago
Read 2 more answers
What is soil and rocks
Scrat [10]

Answer:

soil and rocks are Rocks are made of one or more minerals.  Soil is formed of fine rock particles mixed with air, water and particles from dead plant and animal matter. There are three main types of soil which are classified according to the amount of sand and clay in them. i hope this helps

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • a banker has forgotten the combo to a Safe the number got four digits all the numbers are different it start and end with odd nu
    5·1 answer
  • Choose the correct simpification of (5x^2y^3z^4)(6x^3y^4z^2)
    10·1 answer
  • Mark all the integers below.<br><br><br><br> 2 2/3<br><br> 1<br><br> -2<br><br> 6.78<br><br> -25
    10·2 answers
  • PLEASE PLEASE HELP!!!
    6·1 answer
  • How many solutions does the system have?<br> 6x-y=-1<br> 6x+y=-1
    11·1 answer
  • Which equation has a slope of 6 and a y-intercept of -3
    11·1 answer
  • Either Table A or Table B shows a proportional relationship.
    5·1 answer
  • You start at 5,4 and move 2 units left and 2 units down
    15·2 answers
  • What is the square root of 4/25
    8·1 answer
  • 11. A student borrowed 2 books in the Library Hub on Monday, anome 4 books on Tuesday, and returned 3 books on Thursday. How man
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!