BCA Second Semester Mathematics II Notes Differential Equation BCA TU
An equation that involves an independent variable, dependent variable and differential coefficients of dependent variable with respect to the independent variable is called a differential equation.
e.g., (i) x2(d2y / dx2) + x3 (dy / dx)3 7x2y2
(ii) (x2 + y2) dx = (x2 – y2) dy
Order and Degree of a Differential Equation
The order of a differential equation is the order of the highest derivative occurring in the equation. The order of a differential equation is always a positive integer.
The degree of a differential equation is the degree (exponent) of the derivative of the highest order in the equation, after the equation is free from negative and fractional powers of the derivatives.
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