Question #231348

8)Solve (D²+3DD'+2D'^2)z=x cos y+e^x+y, Where D=∂\∂x and D'=∂\∂y.

Expert's answer

The degree of the differential equation is the power of the highest order derivative, where the original equation is represented in the form of a polynomial equation in derivatives such as y’,y”, y”’, and so on.

, so the degree of this equation here is 1. See some more examples here:

- degree is 1
- degree is 3
- it is not a polynomial equation in y′ and the degree of such a differential equation can not be defined.

**Note:**

Order and degree (if defined) of a differential equation are always positive integers.

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