Show that the substitution u=y / x transforms a homogeneous differential equation into a differential equation whose variables are separable. Hint: Let λ=1 / x in the definition of a homogeneous function to write (1)/(x^n) f(x, y)=f((x)/(x), (y)/(x))=ϕ((y)/(x)) | Numerade
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Solving second-order homogeneous differential equations — Krista King Math | Online math help
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