Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
Answer:
the answer to your question is b
Perimeter = 4×
Where x = 5/7
4* 5/7
p= 20/7
The answer will be a mixed fraction
p= 2 6/7 units
Hope that helps!
Answer:
He gave 8.57 % of his money for his cousin.
Step-by-step explanation:
In order to calculate the percent that Pedro gave to his cousin, we first need to calculate his total amount, which is given by "x". This is given by:
x = 15 + (x - 15)/5 + 128
x = 15 + x/5 - 3 + 128
x = x/5 + 140
x - x/5 = 140
(5*x - x)/5 = 140
4*x = 700
x = 175
He had originally $175 and gave $15 to his cousing, therefore we can use a rule of three to calculate the percent that he gave to his cousin:
$175 -> 100%
$15 -> y%
175*y = 1500
y = 1500 / 175
y = 8.57 %
Answer:
C
Step-by-step explanation:
Hopefully
