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kirza4 [7]
4 years ago
15

Solve the differential equation dy/dx = 5-y?

Mathematics
1 answer:
wel4 years ago
5 0
<span>that's a separable DE..
dy/5-y=dx
</span>ln(y-5) = x+K => take e^(each side) 
<span>y-5 = e^(x+K) = e^(x)*e^(K) => Redefine e^K = C </span>
<span>y-5 = C*e^(t) => Add 5 to both sides </span>
<span>y=C*e^(x) + 5 =></span>
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The 3 inches long is the right answer
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Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

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Therefore critical point

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Generally the substitutions of co-ordinate into function is mathematically given by

For 1

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For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
3 years ago
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