Question

d²y/dx²+dy/dx=2 ,Obtain the order and degree(if possible) of the given differential equation.

Answer 1

Answer :

Order of a differential equation :

   The order of a differential equation is determined by the highest order of the derivative term present in the equation.

Degree of a differential equation :

  The degree of a differential equation is the exponential power of the highest order derivative term present in the equation.

    The differential equation is

    $\frac{{d}^{2}y}{d{x}^{2}} +\frac{dy}{dx}=2$

    The highest order of the derivative term is 2 and thus the order of the given equation is 2.

    The exponential power of the highest order derivative term is 1 and thus the degree of the given equation is 1.

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