Answer:
Step-by-step explanation:
Given the differential equation
25y′′+40y′+16y=0
Using D operator to find the complementary solution
Since the Differential equation is equal to 0, then it doesn't have a partial solution.
25y′′+40y′+16y=0
25D² + 40D +16 = 0
25D² + 20D + 20D +16 = 0
5D(5D+4)+4(5D+4)= 0
(5D+4)=0 twice
D = -4/5 twice,
So the solution is a real and equal roots
y(t) = (A+B•t) exp(—0.8t)
Where A and B are constant
The initial value are.
y(0)=a, y′(0)=−1
y(0) = a = (A+B(0)) exp(—0.8(0))
a = A
Then, the constant A = a.
Now, y'(t)
y'(t)=B•exp(-0.8t)-0.8(A+B•t)exp(-0.8t
-1 = B - 0.8A
Since A =a
Then, B = 0.8a —1
The solution becomes
y(t) = (a+(0.8a-1)•t) exp(—0.8t)
For t>0
For positive,
a + (0.8a -1)> 0
1.8a > 1
a > 1/1.8
a > 10/18 > 5/9
a > 5/9.
Answer:
14080 yds
Step-by-step explanation:
We know that 1 mile = 1760 yards
8 miles * 1760 yds/ 1 mile = (8*1760) yds=14080 yds
Answer:
yoy didnt put a picture of the answer choices, so I'm not sure which one this would be, but the answer would be C=5 + .72P
Step-by-step explanation:
C is the total cost, so that would be on the opposite side of the equal sign from P. the 5 would be the constant, since that is the starting price for all packages, and the .72 is the price per pound, so you would have to multiply .72 by P pounds in order to complete the equation.
Hope this helps!
Standard form is ax + by = c. Begin our transformation by multiplying both sides by 2 to get rid of the fraction. Notice that ax + by = c does not allow for fractions. Doing that multiplication gives us 2y=-x + 3. Now move the x over by the y by addition. x + 2y = 3. And there you go!
