Solution to an initial value problem, Mathematics

Assignment Help:

Solve the subsequent IVP.

dv/dt = 9.8 - 0.196v;               v(0) = 48

Solution

To determine the solution to an Initial Value Problem we should first determine the general solution to the differential equation and after that use the initial condition to recognize the precise solution which we are after. Thus, since this is the similar differential equation as we looked at in Illustration 1, we previously have its general solution.

v(t) = 50 + ce-0.196t

Currently, to determine the solution we are after we require identifying the value of c which will give us the solution we are after. To do such we simply plug in the first condition that will provide us an equation we can resolve for c. Thus let's do this as:

48 = v () = 50 + c ⇒ c = -2

Therefore, the actual solution to the Initial Value Problem is.

v(t) = 50  - 2 e-0.196t

A graph of this solution can be observed in the figure above.

Let's do a couple of illustrations which are a little more included.


Related Discussions:- Solution to an initial value problem

Precalulus, Solve the equation for exact solutions over the interval [o,2Pi...

Solve the equation for exact solutions over the interval [o,2Pi] 2 sec x + 1 = sec x + 3 Some one please help!!!

How many cubic yards of concrete are required, A concrete retaining wall is...

A concrete retaining wall is 120 feet long with ends shaped as given. How many cubic yards of concrete are required to construct the wall? a. 217.8 yd 3 b. 5,880 yd 3

How are Indian customers visiting Shoppers’ Stop any differe, How are India...

How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries?

Ratio, how can i solve it

how can i solve it

Estimate what percent of decrease for population, The population of Hamden ...

The population of Hamden was 350,000 in 1990. By 2000, the population had decreased to 329,000. What percent of decrease is this? First, ?nd out the number of residents who lef

Define euler circuit and euler path, Define Euler Circuit and Euler Path.  ...

Define Euler Circuit and Euler Path.  Which of the following graphs have an Euler circuit and Euler path.

Expert , i want to work with you, please guide me

i want to work with you, please guide me

Find the length of chord ab, If PA and PB are tangents to a circle from an ...

If PA and PB are tangents to a circle from an outside point P, such that PA=10cm and ∠APB=60 o . Find the length of chord AB.

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