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KengaRu [80]
3 years ago
12

In how many ways can a committee of 3 men and 2 women can be formed from 7 men and 5 women?​

Mathematics
1 answer:
dezoksy [38]3 years ago
5 0

Answer:

in five (5) ways a committee can be formed from 7 men and 5 women

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Consider the differential equation: y′′−8y′=7x+1. Find the general solution to the corresponding homogeneous equation. In your a
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Answer:

yp = -x/8

Step-by-step explanation:

Given the differential equation: y′′−8y′=7x+1,

The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)

First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;

y′′−8y′=0

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m²-8m = 0

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m = 0 and m-8 = 0

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yc = Ae^m1x + Be^m2x

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yc = A+Be^8x

To get yp we will differentiate yc twice and substitute the answers into the original DE

yp = Ax+B (using the method of undetermined coefficients

y'p = A

y"p = 0

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0-8A = 7x+1

Comparing coefficients

-8A = 1

A = -1/8

B = 0

yp = -1/8x+0

yp = -x/8 (particular integral)

y = yc+yp

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