Given a differential equation dy/dx = f(x) g(y) and an initial condition y(a) = b, if f, g, and g’ are continuous near (a, b), then there is a unique function y whose derivative is given by f(x) g(y) and that passes through the point (a, b)

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September 19, 2025 at 3:31 am #5388
Rajeev Bagra
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Given a differential equation dy/dx = f(x) g(y) and an initial condition y(a) = b, if f, g, and g' are continuous near (a, b), then there is a unique function y whose derivative is given by f(x) g(y) and that passes through the point (a, b)
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inlearnmath

dy/dx, f(x), and g(y)
byu/DigitalSplendid inlearnmath

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