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Anestetic [448]
4 years ago
7

Please help me i dont understand and give me the right answer thanks!!.

Mathematics
1 answer:
crimeas [40]4 years ago
5 0
The surface area is 40
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Y''-2y'+y=2(e^x)-3(e^-x)
labwork [276]
First find the characteristic solution. The characteristic equation is

r^2-2r+1=(r-1)^2=0

which as one root at r=1 of multiplicity 2. This means the characteristic solution for this ODE is

y_c=C_1e^x+C_2xe^x

For the nonhomogeneous part, you can try a particular solution of the form

y_p=(a_2x^2+a_1x+a_0)e^x+be^{-x}

which has derivatives

{y_p}'=(a_2x^2+(2a_2+a_1)x+a_1+a_0)e^x-be^{-x}
{y_p}''=(a_2x^2+(4a_2+a_1)x+2a_2+2a_1+a_0)e^x+be^{-x}

Substituting into the ODE, the left hand side reduces significantly to

2a_2e^x+4be^{-x}=2e^x-3e^{-x}

and it follows that

\begin{cases}2a_2=2\\4b=-3\end{cases}\implies a_2=1,b=-\dfrac34

Therefore the particular solution is

y_p=x^2e^x-\dfrac34e^{-x}

and so the general solution is the sum of the characteristic and particular solutions,

y=y_c+y_p
y=C_1e^x+C_2xe^x+x^2e^x-\dfrac34e^{-x}
3 0
3 years ago
What is the answer for 20+30x0+1= ?
Nuetrik [128]
1 20+30 x 0 =0 + 1= 1
3 0
4 years ago
Read 2 more answers
Which expression is equivalent to i^233?<br><br> A) 1<br> B) –1<br> C) i<br> D) –i
DerKrebs [107]
i^{233}=i^{232+1}=i^{232}i=i^{4\times58}i=(i^4)^{58}i=1^{58}i=i
5 0
4 years ago
An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. Dominic noticed that the sh
Nimfa-mama [501]

Answer:

Step-by-step explanation:

4.5b + 8.5c = 175

b + c = 22.......b = 22 - c

4.5(22 - c) + 8.5c = 175

99 - 4.5c + 8.5c = 175

-4.5c + 8.5c = 175 - 99

4c = 76

c = 76/4

c = 19......there are 19 cats

b + c = 22

b + 19 = 22

b = 22 - 19

b = 3 <==== there are 3 birds

3 0
4 years ago
The length of a rectangle is 8 cm greater than its width. The perimeter is at most
noname [10]

Answer:

The length is 14 and the width is 6

3 0
4 years ago
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