Question: Find the function x(t) that satisfies the differential equation and that has the value 2.5 when t = 0. dx dt = -4x ||

Find the function x(t) that satisfies the differential equation

dx dt = -4x ||

and that has the value 2.5 when t = 0.

dx dt = -4x ||

Step by Step Solution

★★★★★

3.38 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We noted earlier that xt Ae is a solution of the differential equation dx dt 4x dx ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Engineering Mathematics Questions!

Q:

Solve the polynomial equation. Find all complex solutions. x + 5 = 0

Q:

a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...

Q:

(a) LEP Table 12-2: Exothermic Reaction with Heat Exchange Download the Polymath, MATLAB, Python, or Wolfram codes for the algorithm and data given in Table T12-2 for the exothermic gas phase...

Q:

de la cruz (cld2889) - HW03 - berg - (54070) This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. 001 003...

Q:

Name: _______________ LoE: ______ hours ECE 3054 Homework 01 Fall 2017 This particular homework assignment is not typical of the assignments in this course, because it is intended to test your...

Q:

Birth and death rates of animal populations typically are not constant, instead, they vary periodically with the passage of seasons. Find P(t) if the population P satisfies the differential equation...

Q:

Find the general solution. Use lowercase c for your constant. y In(by))+ xy = 0 Preview TIP Enter your answer as an equation. Example: y=3x^2+1, 2+xty=3 Be sure your variables match those in the...

Q:

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

Q:

1. 3 2 Consider the function f(x) = x - 3x - 9x + 10, x (a) . Find the equation of the straight line passing through the maximum and minimum points of the graph y = f(x). (4) (b) Show that the point...

Q:

write MATLAB scripts to solve differential equations. Computing 1: ELE1053 Project 3E:Solving Differential Equations Project Principle Objective: Write MATLAB scripts to solve differential equations....

Q:

A large cereal manufacturer promises 5 boxes of raisins in each box of boxes with various dried fruits, and any package that has less than 5 boxes of raisins is considered defective. A customer is...

Q:

Visit the home page of the Ford Motor Company at: www.ford.com. From Ford's home page, access the company's most recent annual report (select the "About Ford" menu item). Locate the notes to the...

Q:

Question 5 4 pts Suppose you need to pay V = 5 0 , 0 0 0 G B P in a year from now. Spot rate of GBP is 1 . 3 . You do not have enough USD to purchase 5 0 , 0 0 0 GBP right now. Assume the forward...

Q:

Intermediate: Various overhead absorption rates and under/over recovery A factory with three departments uses a single production overhead absorption rate expressed as a percentage of direct wages...

Q:

Determine the vertical displacement of joint D. Using Castiglianos theorem. AE is constant. Assume the members are pin connected at their ends. 500 lb 300 lb -3 ft -3 ft- 3 ft 600 lb

Q:

Determine the vertical displacement of joint D. Use the method of virtual work. AE is constant. Assume the members are pin connected at their ends. 500 lb 300 lb -3 ft -3 ft- 3 ft 600 lb

Q:

Determine the vertical displacement of joint D. Using Castiglianos theorem. AE is constant. Assume the members are pin connected at their ends. 000 4 m 4 m - 15 kN 20 kN 000

Q:

which IP addresses are valid

Q:

Whitewater Instruments sold $400 million of 10% bonds, dated January 1, on January 1, 2016. The bonds mature on December 31, 2035 (20 years). For bonds of similar risk and maturity, the market yield...

Q:

Which of the following actions did you take the #NAME? Error value in cell C 9 on the result worksheet?