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Chapter 1: Q16RP (page 30)

Using the method of isoclines sketch the direction field for\[{\bf{y = - }}\frac{{{\bf{4x}}}}{{\bf{y}}}\].

Short Answer

Expert verified

The graph is drawn below.

Step by step solution

01

The isoclines curve

Here the isoclines curve is

\[\begin{array}{c}\frac{{{\bf{ - 4x}}}}{{\bf{y}}}{\bf{ = c}}\\{\bf{y = }}\frac{{{\bf{ - 4x}}}}{{\bf{c}}}\end{array}\]

By putting the values of c we the graph.

By putting the different values of c=1,-1,2,-2 get the graph.

02

Slope field

By using the software we get the slope field.

By using the software and putting the different values of x get the slope field.

03

Direction field

By using the software get the direction field.

By using the software and putting the different value get the direction field.

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