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

Polynomials, sum of zero of polynomial x2-2x+1is equal to sum of zero of po...

sum of zero of polynomial x2-2x+1is equal to sum of zero of polynomial x3-2x+x then find the product of all the three zero of the second polynomial

Graphing , what effect is the constant in an equation have on an graph

what effect is the constant in an equation have on an graph

Evaluate the convergence of the algorithms, Evaluate the convergence of the...

Evaluate the convergence of the algorithms: From the convergence proof of power method, LR and QR algorithm for the computation of eigenvalues we see that the easiest case to

Quadratic equation, If roots of (x-p)(x-q) = c are a and b what will be th...

If roots of (x-p)(x-q) = c are a and b what will be the roots of (x-a)(x-b) = -c    please explain? Ans) (x-p)(x-q)=c x2-(p+q)x-c=0 hence,   a+b=p+q  and      a.b=pq-c

Number system, NATURAL NUMBERS The numbers 1, 2, 3, 4.... Are called as...

NATURAL NUMBERS The numbers 1, 2, 3, 4.... Are called as natural numbers, their set is shown by N. Hence N = {1, 2, 3, 4, 5....} WHOLE NUMBERS The numbers 0, 1, 2, 3, 4

Aggregation and augmentation, Previously discussed how important it is to e...

Previously discussed how important it is to expose children to a variety of verbal problems involving the concept that they are trying to learn. Children attach meaning to the abst

Numerical analysis and computer techniques, write a fortan programme to gen...

write a fortan programme to generate prime number between 1 to 100

Matrix, find the matrix of the linear transformations T:R2->R2 defined by T...

find the matrix of the linear transformations T:R2->R2 defined by T(x,y,z)=(x+2y,x-3z).

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