MODULE 1: DEFINITIONS AND TERMINOLOGY

Question 1

An equation involving derivatives (of at least 1 dependent variables with respect to at least 1 dependent variable).

Answer 1

DIFFERENTIAL EQUATIONS

Question 2

A differential equation involving PARTIAL derivatives (of at least 1 dependent variables with respect to MORE THAN 1 independent variable).

Answer 2

PARTIAL DIFFERENTIAL EQUATION (PDE)

Question 2

A differential equation involving ordinary derivatives (of at least 1 dependent variables with respect to only 1 independent variable).

Answer 2

ORDINARY DIFFERENTIAL EQUATION (ODE)

Question 3

The order of the ____________ appearing in the equation is called the _________ of a DE.

Answer 3

HIGHEST - ORDER

Question 4

If a DE can be expressed as a _____________ in the unknown function and its derivatives, then its DEGREE is the __________ to which the highest - order derivative is raised after the equation has been expressed in a form that is ___________________________.

Answer 4

POLYNOMIAL - POWER - FREE FROM RADICALS OR FRACTIONAL EXPONENTS

Question 5

_________________ is an equation which the DEPENDENT VARIABLE and its DERIVATIVES occur only in the FIRST DEGREE, no term must contain a PRODUCT OF Y and its VARIOUS derivatives.

Answer 5

LINEAR DIFFERENTIAL EQUATIONS

Question 6

DE that cannot be expressed into the form is called ____________.

Answer 6

NON-LINEAR

Question 7

y

Answer 7

DEPENDENT VARIABLE

Question 8

x

Answer 8

INDEPENDENT VARIABLE