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Question 1- Define and given an example in each of the following:
i. Differential Equation
ii. Ordinary Differential Equation
iii. Partial differential Equation
iv. Order of a Differential Equation
v. Degree of a Differential Equation
vi. Integral of a Differential Equation
vii. Linear Differential Equation of the n-th order.
Question 2-
a. What is the difference between homogenous function and homogeneous differential equation?
b. Hence which of the following are homogenous and state their corresponding degrees.
i. xy + y2
ii. x2 + y2/xy
iii. x2 + xyex/y
c. Given the geometric interpretation to the equation y(1) + x/y = 0.
d. What is the essential difference between initial value problem and boundary value problem?
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