Section outline

  • Order, degree, and variable separable

    Introduction:

    In this class, the order and degree of a differential equation will be discussed.

    Let a differential equation be expressed as a polynomial equation in the derivatives occurring in it.

    The exponent of each of the derivatives should be minimum. The exponent of the variables need not be an integer.
    Under such conditions,
    i) the order of the differential equation is the order of the highest derivative in it.
    ii) the degree of the differential equation is the largest exponent of the highest order derivative

    Separable equations introduction. "Separation of variables" allows us to rewrite differential equations so we obtain equality between two integrals we can evaluate. Separable equations are the class of differential equations that can be solved using this method.

    Objectives:

    • order and degree of ordinary differential equation
    • solve 1st order ODE by using variable separation method

    Lesson Plan:

    • Discussion from a lecture slide
    • Problem-solving
    • Group Work
    • Question and Answering
    • Home Work