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.
Examples on Log rules: Example: Calculate (1/3)log 10 2. Solution: log b n√A = log b A 1/n = (1/n)log b A (1/3)log 10 2 = log 10 3 √2 = log 10 1.
1-tan^2 A/1+tan^2 = cos A - sinA/cos A
The Shape of a Graph, Part II : In previous we saw how we could use the first derivative of a function to obtain some information regarding the graph of a function. In this secti
Application of Probability in Business 1. Business games of chance for illustration, Raffles Lotteries. 2. Insurance firms: this is generally done when a new client or prop
estion..#qu
7
The twenty-third Jaina teacher, Parsva, the immediate predecessor of Mahavira enjoined on his disciples four great vows. To these Mahavira addes which of the followings as the fift
All the number sets we have seen above put together comprise the real numbers. Real numbers are also inadequate in the sense that it does not include a quantity which i
Q. How to calculate Probability of event? Ans. What chance do I have to toss the coin and get a head? You might think 50-50, 50%. What about tossing it 5 times and getting
What is the slope of the line tangent to f(x)=3-2 ln(2x^2+4) at the point (4, f(4))
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