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marishachu [46]
3 years ago
11

Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt = 2x + 3y − 5 dy dt = −x − 2y + 4 x(

t), y(t)

Mathematics
2 answers:
Greeley [361]3 years ago
5 0

Answer:

The system of non homogeneous linear equation is

dx/dt=2x+3y-5

dy/dt=-x-2y+4

Using differential equations and method of undetermined coefficients the solution will be

y(t,x)=-x^2+2*xt+x

sukhopar [10]3 years ago
4 0
Try this solution (see the attachment, it is consists of 3 steps).

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I need help please.
pishuonlain [190]

Step-by-step explanation:

2(x - 7) = 3(x + 9)

2x - 14 = 3x + 27

2x - 3x = 27 + 14

-x = 41

x = - 41

7 0
4 years ago
Jerome bought a sweater that was on sale for 20 percent off. Jerome paid $25.10 for the sweater, including sales tax of 8.25 per
Over [174]
Let the original price of the sweater be = X
Then the amount Jerome pays for the sweater after 20% discount = X - (20X/100)
                                                                                                           = X - 0.2X
                                                                                                            = 0.8X
Now on this price the 8.25% tax needs to be added to get to the amount actually paid by Jerome.
So,
0.8X + [(8.25/100) * (0.8X) = 25.1
This is the equation from which the actual price of the sweater bought by Jerome can be determined.
So
0.8X + [(.0825) * ( 0.8X) = 25.1
0.8X + 0.066X = 25.1
0.866X = 25.1
X = 25.1/0.866
   = 28.98
So the actual price of the sweater is $28.98.
8 0
4 years ago
If f(x) = 62.7"), what is 13)?
Lemur [1.5K]

Answer:

f(x)=|x−13|+11

To find the x

coordinate of the vertex, set the inside of the absolute value x−13 equal to 0. In this case, x−13=0

.

x−13=0

Add 13

to both sides of the equation.

x=13

Replace the variable x

with 13

in the expression.

y=|(13)−13|+11

Simplify |(13)−13|+11

.The absolute value vertex is (13,11)

hope this helps ;)

6 0
3 years ago
Solve the equation 4*e+2=1 (mod5)
otez555 [7]

Here's a way to do it.

Let 4e +2 = 5n +1 . . . . . . for some integer n

Then e = (5n -1)/4 = n + (n -1)/4

We want (n-1)/4 to be an integer, so let it be integer m.

... m = (n -1)/4

... 4m = n -1

... 4m +1 = n

Substituting this into our expression for e gives

... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1

e = 5m+1 for any integer m

4 0
4 years ago
Great Mountain Park: All day pass: 20.25 Mountain coaster: 4.50 Tilt a Loop: 4.75 Water coaster: 4.00 Fast drop: 3.50 Swing a Li
Black_prince [1.1K]
You would get £22.75 change from an £100 bill.
8 0
4 years ago
Read 2 more answers
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