Department of Higher Education, Govt. of Madhya Pradesh

Department of Higher Education, Govt. of Madhya Pradesh.

LEARNING OBJECTIVE. DEFINITION OF DIFFERENTIAL EQUATION.

Definition of differential equation:. An equation which contains derivatives of one or more dependent variables with repect to one or more independent variable is called a differential equation..

Types of Differential Equation. Ordinary differential equation.

Ordinary differential equation. A differential equation which contains ordinary derivatives of one or more dependent variables with respect to only one independent variable is called an ordinary differential equation..

Partial differential equation. A differential equation which contains partial derivatives of one or more dependent variables with respect to two or more than two independent variable is called a partial differential equation..

Order of a differential equation. The order of a differential equation is the order of the highest derivative which occurs in it..

Degree of a differential equation. The degree of a differential equation is the exponent (power) of highest derivative which occurs in it..

Learn More :. https://www.mathsisfun.com/calculus/differential-equations.html http://www.math.toronto.edu/selick/B44.pdf https://ncert.nic.in/pdf/publication/exemplarproblem/classXII/mathematics/leep209.pdf.

C. 3. Assessment. A. 1. C. 3. B. 2. D. 4. Q 1. Order of the differential equation is.

B. 2. A. 1. C. 3. B. 2. D. 4. Q 2. Degree of the differential equation is.

Thank you.