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

Statistics, How many 4 digit numbers can be formed using the numbers: 1 – 7...

How many 4 digit numbers can be formed using the numbers: 1 – 7. Repeated numbers CAN NOT be used

Find sampling interval - horizontal and vertical asymptote, In a digital fi...

In a digital filter, one of the parameters in its difference equation is given by the formula a) Show that the above formula has one horizontal and one vertical asymptote.

Derivative with polar coordinates - parametric equations, Derivative with P...

Derivative with Polar Coordinates dy/dx = (dr/dθ (sin θ) + r cos θ) / (dr/dθ (cosθ) - r sinθ) Note: Rather than trying to keep in mind this formula it would possibly be easi

Thinking mathematically-why learn mathematics, THINKING MATHEMATICALLY :  ...

THINKING MATHEMATICALLY :  Have you ever thought of what mental processes you are going through when you are solving a mathematical problem? Why don't you try the following proble

Find the annual percentage yield, 1.   Find the APY for the bank described ...

1.   Find the APY for the bank described below- A bank offers an APR of 4% compounded monthly. 2.  Use the compound interest formula to compute the balance in the following a

Find the area of parallelogram, Find the area of PARALLELOGRAM ? A para...

Find the area of PARALLELOGRAM ? A parallelogram is a four-sided shape, of which the opposite sides are parallel. (Because they are parallel, opposite sides also have the same

Optimization, Optimization : In this section we will learn optimization p...

Optimization : In this section we will learn optimization problems.  In optimization problems we will see for the largest value or the smallest value which a function can take.

What is the maximum number calories which consume from fats, Josephine is o...

Josephine is on an 1,800 calorie per day diet. She tries to remain her intake of fat to no more than 30% of her overall calories. Based on an 1,800 calorie a day diet, what is the

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