Direction field for the differential equation, Mathematics

Assignment Help:

We require to check the derivative thus let's use v = 60. Plugging it in (2) provides the slope of the tangent line as -1.96, or negative. Thus, for all values of v > 50 we will have negative slopes for the tangent lines. When with v < 50, by looking at (2) we can notice that as v approaches 50, all the times staying greater than 50, the slopes of the tangent lines will approach zero and flatten out. As moving v away by 50 again, staying greater than 50, the slopes of the tangent lines will turn into steeper. We can here add in several arrows for the region above v = 50 as demonstrated in the graph as in following.

1482_direction field for the differential equation.png

This above graph is termed as the direction field for the differential equation.


Related Discussions:- Direction field for the differential equation

Which of the following sets are equal, Which of the following sets are equa...

Which of the following sets are equal? S 1 = {1, 2, 2, 3}, S 2 = {x | x 2 - 2x + 1 = 0}, S 3 = {1, 2, 3}, S 4 = {x | x 3 - 6x

Devision, how many times can u put 10000 into 999999

how many times can u put 10000 into 999999

Example of multiplication of matrix, Given So calculate AB. Sol...

Given So calculate AB. Solution The new matrix will contain size 2 x 4. The entry in row 1 and column 1 of the new matrix will be determined by multiplying row 1 of

Solving Trig Equations, How would you solve the equation: 1+ sin(theta)= 2 ...

How would you solve the equation: 1+ sin(theta)= 2 cos^2(theta)?

Matrix, matrix of [1 4 ] [a b]=4/9

matrix of [1 4 ] [a b]=4/9

Dot product - vector, Dot Product- Vector The other topic for discu...

Dot Product- Vector The other topic for discussion is that of the dot product.  Let us jump right into the definition of dot product. There is given that the two vectors a

One is then added to in which result what is final answer, Ten is decreased...

Ten is decreased through four times the quantity of eight minus three. One is then added to in which result. What is the final answer? The area of a square whose side measures

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd