• yash2651995
i'm not able to understand this: (this is WRT ODE course.) Linear - When do we say that F(x; y; y1; : : : ; y(n)) = 0 linear? Write F(x; y; y1; : : : ; y(n)) = 0 as L(y)(x) = L(y; y1; : : : ; y(n)) = f(x); and now L is a linear transformation from Cn = the space of functions which are at least n-times di erentiable to F = the space of functions. If these functions are de ned on an open set  R, we say that the ODE is de ned on . (Why do we take an open set?)
Mathematics
• Stacey Warren - Expert brainly.com
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