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Karo-lina-s [1.5K]
2 years ago
5

in finding the solutions of differential equations by P, Q, method (dy/dx +Py = Q) , when the integrating factor = e ( to the po

wer , integration of P.dx) is it necessary that Q must be in terms of x variable only? Or can terms with y variable be also present?
Mathematics
1 answer:
Amanda [17]2 years ago
8 0
Yes. Q must be in terms of v variables or a constant. It cannot be in terms of y variables.
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Answer:

a)

H - H - H

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b)

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Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Question a:

Considering H for heads, T for tails:

H - H - H

H - H - T

H - T - H

H - T - T

T - H - H

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One outcome(H - H - H) out of 8, so:

p = \frac{1}{8} = 0.125

0.125 = 12.5% probability that all three coins come up heads.

Notice that the complement of the event "3 heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.

Sum of these probabilities is 100%, so:

1 - 0.125 = 0.875

0.875 = 87.5% probability that there will be at least one tail.

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Step-by-step explanation:

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