Find the function f(x) such that f'(x) = f(x)(1 – f(x)) and f(0) 1o. (Use f...

Question

Question

Find the function f(x) such that f(x) = f(x)(1 – f(x)) and f(0) 1o. (Use f for f(x) in your equation.) 10 1 1 + 9e Need Help

math calculus

Answer 1

Answer #1

Given that, f(x) = f(x)(1-f(x)); f(0) = 1 10 Integrate with respect to X. df = f(1-f) cc of = dx f(1-f) df f(1-f) C++, Jor=[

Plug the initial condition: 1 10 =ce 1 10 Plug this value, f(x) =ce 1-f(x) f(x) 1 1- f(x) 1-f(x) 9e-* f(x) 509)-1 f(x) =9e-*

Answer 2

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