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vredina [299]
3 years ago
5

Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inv

ersely proportional to y4
Mathematics
1 answer:
vazorg [7]3 years ago
7 0
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4

To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
y= \sqrt[5]{Bx+C}</span>
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