Asked by Anonymous
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 inversely proportional to y^4."
Answers
Answered by
Tia
dy/dx = k / (y^4) where k is a constant
Separate the variables
(y^4) dy = k dx
Integrate both sides
(y^5) / 5 = kx + c where c is also a constant
Separate the variables
(y^4) dy = k dx
Integrate both sides
(y^5) / 5 = kx + c where c is also a constant
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