Question

Determine whether or not the function is a Homogeneous DE. If it is homogeneous, state the degree of the function. (a) 4x² - 3xy + y² (b) x² +3xy / x - 2y (c) (u² + v²)^3/2​

Answer 1

Answer:

a) 4x² -3xy + y² is a Homogeneous DE and it's degree is 2 because by definition it is the largest exponent in the variable.

b) x² + 3xy / x - 2y

- The degree cannot be determined because the function is not a polynomial.

c) (u² + v²)^3/2

- The degree cannot be determined because the function is not a polynomial.

Answer 2

Answer:

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