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Luden [163]
2 years ago
9

Solve for c.

Mathematics
2 answers:
Harlamova29_29 [7]2 years ago
7 0

Answer:

c=-6

Step-by-step explanation:

disa [49]2 years ago
7 0

Answer:

c= -6

Step-by-step explanation:

2(2c+9)=c

4c+18=c

4c+18-18=c-18

4c=c-18

4c-c=c-c-18

3c=-18

3c/c=-18/3c

c= -6

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y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a sol
TEA [102]

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.

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On substituting;

2 = c1cos(5(0)) + c2sin(5(0))

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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

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If y'(π) = 9, this means when x = π, y'(x) = 9

On substituting;

9 = -5c1sin5π + 5c2cos5π

9 = -5c1(0) + 5c2(-1)

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3 years ago
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Answer:

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Step-by-step explanation:

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