In the differential equation

1
In the differential equation
the variable y is the variable

• Independent
• Dependent

2
Ordinary Differential EquationsEverything is
ordinary about them
3
In the differential equation
the variable x is the variable

• Independent
• Dependent

4
Ordinary differential equations can have
dependent variables

• one
• two
• any positive integer

5
Ordinary differential equations can have
independent variables

• one
• two
• any finite positive integer

6
The velocity of a body is given by
Then the distance covered by the body from t0 to
t10 can be calculated by solving the
differential equation for x(10) for

• .

7
Eulers method of solving ordinary differential
equations
states

8
The differential equation
is

• linear
• nonlinear
• linear with fixed constants
• undeterminable to be linear or nonlinear

9
A differential equation is considered to be
ordinary if it has

• one dependent variable
• more than one dependent variable
• one independent variable
• more than one independent variable

10
The form of the exact solution to
is

• .

11
T0 solve the ordinary differential equation
by Eulers method, you need to rewrite the
equation as

• .

12
Given
The value of
at y(4) using finite difference method and a
step size of h4 can be approximated by

• .