1.

Find the degree and order of differential equation y''' - sin(y') + y = 0 is1. Degree 3 and order 12. Degree 1 and order 33. Degree 1 and order 14. Cannot be determined

Answer» Correct Answer - Option 4 : Cannot be determined

Concept:

The order of a differential equation is the order of the highest derivative appearing in it.

The degree of a differential equation is the degree of the highest derivative occurring in it, after the equation has been expressed in a form free from radicals as far as the derivatives are concerned.

A differential equation is said to be linear when

  • Dependent variable and its derivative should have power ‘1’.
  • Dependent variable and its derivatives can have the product with the independent variable.
  • Dependent variable and its derivatives can’t have the product.


Calculation:

Given differential equation is y''' - sin(y') + y = 0

∵ In the given equation the polynomial equation cannot be formed in y', so order and degree cannot be defined



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