1.

Sketch the function y=x+a. Explain your sketch.

Answer»

Solution :When a = 0 , y = x
when a = 1 , x = 1 , y = 1 + 1 = 2
when a = 2 , x= 2 , y = 2 + 2 = 4
Explanation: This implies, when increasing the value of a, the LINE shifts towards right side at a= 0, and line shifts towards left side at a= 1, 2, .... For a = vt, y = x - vi SATISFIES the differential equation. Though this function satisfies the differential equation, it is not finite for all values of x and t. Hence it does not represent a waves.


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