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
lilavasa [31]
3 years ago
8

Did I get this right?

Mathematics
1 answer:
zepelin [54]3 years ago
5 0
The number behind the Decimal 75 I think is correct
You might be interested in
3y''-6y'+6y=e*x sexcx
Simora [160]
From the homogeneous part of the ODE, we can get two fundamental solutions. The characteristic equation is

3r^2-6r+6=0\iff r^2-2r+2=0

which has roots at r=1\pm i. This admits the two fundamental solutions

y_1=e^x\cos x
y_2=e^x\sin x

The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form

y_p=u_1y_1+u_2y_2

where

u_1=-\displaystyle\frac13\int\frac{y_2e^x\sec x}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\frac13\int\frac{y_1e^x\sec x}{W(y_1,y_2)}\,\mathrm dx

and W(y_1,y_2) is the Wronskian of the fundamental solutions. We have

W(e^x\cos x,e^x\sin x)=\begin{vmatrix}e^x\cos x&e^x\sin x\\e^x(\cos x-\sin x)&e^x(\cos x+\sin x)\end{vmatrix}=e^{2x}

and so

u_1=-\displaystyle\frac13\int\frac{e^{2x}\sin x\sec x}{e^{2x}}\,\mathrm dx=-\int\tan x\,\mathrm dx
u_1=\dfrac13\ln|\cos x|

u_2=\displaystyle\frac13\int\frac{e^{2x}\cos x\sec x}{e^{2x}}\,\mathrm dx=\int\mathrm dx
u_2=\dfrac13x

Therefore the particular solution is

y_p=\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x

so that the general solution to the ODE is

y=C_1e^x\cos x+C_2e^x\sin x+\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x
7 0
3 years ago
I need help relearning inequalities
Leto [7]
This is an example of how you solve an inequality.

7 0
3 years ago
megan pick 34 flowers. some of the flowers are yellow and 18 flower are pink. how many of the flowers are yellow
olchik [2.2K]
16 flowers are yellow
4 0
3 years ago
Help please I’ve been here for a while...
lukranit [14]
B just trust me bro I got you
4 0
2 years ago
Read 2 more answers
Find the next two terms: <br><br>1, 11, 111, 1111....​
Juli2301 [7.4K]

Answer:

1111, 11111

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Solve the inequality. 6y+5&gt;8
    10·2 answers
  • please respond with the format showed on the picture so use . after the letter and display the answer
    8·1 answer
  • The side length, s, of a cube is 4x^2+3. If V=s^3, what is the volume of the cube?
    6·1 answer
  • Explain how solve 4^(x+3) = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for
    13·1 answer
  • G(-4, -8) and H(-15, -3). What is the slope of GH?
    10·1 answer
  • The function p(x) is an odd degree polynomial with a negative leading coefficient. If q(x) = x3 + 5x2 - 9x - 45, which statement
    5·1 answer
  • Help with this please
    14·1 answer
  • Help me pleasssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
    12·1 answer
  • What is the area of a circle that is 11 millimeters?​
    10·1 answer
  • Find h if V = 30.45 ft3, l = 6.3 ft, and w = 2.5 ft.​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!