- #1
bentley4
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Hi everyone!
1. Is a linear equation the same as a polynomial of first(or 0th) degree?
2. The book 'Mathematics for physicists and engineers' by springer(publisher) states that an example of a linear (DE) equation is 5.dy(x)/dx = x.y(x). Yet I read somewhere else that f(x,y)=a.x.y+b is not linear.(polynomial of 2nd degree).
Is one them wrong? Or are both right because in the first example y is a depent variable while in the second example y is an independant variable?
1. Is a linear equation the same as a polynomial of first(or 0th) degree?
2. The book 'Mathematics for physicists and engineers' by springer(publisher) states that an example of a linear (DE) equation is 5.dy(x)/dx = x.y(x). Yet I read somewhere else that f(x,y)=a.x.y+b is not linear.(polynomial of 2nd degree).
Is one them wrong? Or are both right because in the first example y is a depent variable while in the second example y is an independant variable?