Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
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.
1+2+3+78+980
Your friends have opened an ocean fishing operation that requires their fishing vessel to cross a channel, where the depth of the water (measured in metres) varies with time, and i
One day it snowed 3 and 3/8 inches in Altoona and 3.45 inches in Bethlehem. Which city received less snow that day.
Use the concepts of sampling error and z- scores to explain the concept of distribution of sample means.
A Class 4 teacher was going to teach her class fractions. At the beginning of the term she asked the children, "If you had three chocolates, and wanted to divide them equally among
How to Converting Scientific Notation to Standard Notation ? To change a number in scientific notation to standard notation, move the decimal point the same number of places as
Decision Trees And Sub Sequential Decisions A decision tree is a graphic diagram of different decision alternatives and the sequence of events like if they were branches of a t
Arc Length with Parametric Equations In the earlier sections we have looked at a couple of Calculus I topics in terms of parametric equations. We now require to look at a para
Evaluate following sin 2 ?/3 and sin (-2 ?/3) Solution: The first evaluation in this part uses the angle 2 ?/3. It is not on our unit circle above, though notice that 2 ?/
A real estate agent makes a 1.5% commission on her sales. What is her commission if she sells a $359,000 house? Multiply $359,000 by the decimal equivalent of 1.5% (0.015) to ?
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd