A pilot is told by ground-control that he will encounter unusual air flow streamlines in his flight path (a streamline is a curve y = f(x) in the X-Y plane ). These streamlines are given by a first order differential equation of the form %3D dy ax dx By where a and ß are constant parameters. Solve to show the streamlines are a family of concentric ellipses centred on the origin (0,0) of the X and Y-axis. If a = ß show that the streamlines are a family of %3! concentric circles.

Q: and

A: We will find the value of x.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.