Explanation Given: A differential equation d Q d t = 0.3 Q − 120 ; Q = 50 w h e n t = 0 . Formula Used: The general solution to the differential equation d y d t = k ( y − A ) is given as y = A + C e k t , where C is any constant Calculation: The differential equation is given as d Q d t = 0.3 Q − 120 d Q d t = 0.3 ( Q − 400 ) Compare the above differential equation with d y d t = k ( y − A ) , General solution is given as Q = 400 + C e 0

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

See similar textbooks

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

Videos

Question

Chapter 9.5, Problem 6P

To determine

Find the particular solution for differential equation dQdt=0.3Q−120; Q=50 when t=0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.5, Problem 5P

Chapter 9.5, Problem 7P

Students have asked these similar questions

Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3,4, -32) for the function f(x, y, z) = In -4x -5y- Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate to 4 decimal places

Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3 and Ay = 0.05. dz = Now find Az and compare it to your answer above Ax= Hint: If entering a decimal, round to at least 5 places

Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and Ay = -0.15. dz Now find Az and compare it to your answer above Az = Hint: If entering a decimal, round to at least 5 places

Chapter 9 Solutions

APPLIED CALCULUS (WILEY PLUS)

Ch. 9.1 - Prob. 1P Ch. 9.1 - Prob. 2P Ch. 9.1 - Prob. 3P Ch. 9.1 - Prob. 4P Ch. 9.1 - Prob. 5P Ch. 9.1 - Prob. 6P Ch. 9.1 - Prob. 7P Ch. 9.1 - Prob. 8P Ch. 9.1 - Prob. 9P Ch. 9.1 - Prob. 10P

Ch. 9.1 - Prob. 11P Ch. 9.1 - Prob. 12P Ch. 9.1 - Prob. 13P Ch. 9.1 - Prob. 14P Ch. 9.1 - Prob. 15P Ch. 9.1 - Prob. 16P Ch. 9.2 - Prob. 1P Ch. 9.2 - Prob. 2P Ch. 9.2 - Prob. 3P Ch. 9.2 - Prob. 4P Ch. 9.2 - Prob. 5P Ch. 9.2 - Prob. 6P Ch. 9.2 - Prob. 7P Ch. 9.2 - Prob. 8P Ch. 9.2 - Prob. 9P Ch. 9.2 - Prob. 10P Ch. 9.2 - Prob. 11P Ch. 9.2 - Prob. 12P Ch. 9.2 - Prob. 13P Ch. 9.2 - Prob. 14P Ch. 9.2 - Prob. 15P Ch. 9.2 - Prob. 16P Ch. 9.2 - Prob. 17P Ch. 9.2 - Prob. 18P Ch. 9.2 - Prob. 19P Ch. 9.2 - Prob. 20P Ch. 9.2 - Prob. 21P Ch. 9.2 - Prob. 22P Ch. 9.3 - Prob. 1P Ch. 9.3 - Prob. 2P Ch. 9.3 - Prob. 3P Ch. 9.3 - Prob. 4P Ch. 9.3 - Prob. 5P Ch. 9.3 - Prob. 6P Ch. 9.3 - Prob. 7P Ch. 9.3 - Prob. 8P Ch. 9.3 - Prob. 9P Ch. 9.3 - Prob. 10P Ch. 9.3 - Prob. 11P Ch. 9.3 - Prob. 12P Ch. 9.3 - Prob. 13P Ch. 9.3 - Prob. 14P Ch. 9.3 - Prob. 15P Ch. 9.3 - Prob. 16P Ch. 9.3 - Prob. 17P Ch. 9.4 - Prob. 1P Ch. 9.4 - Prob. 2P Ch. 9.4 - Prob. 3P Ch. 9.4 - Prob. 4P Ch. 9.4 - Prob. 5P Ch. 9.4 - Prob. 6P Ch. 9.4 - Prob. 7P Ch. 9.4 - Prob. 8P Ch. 9.4 - Prob. 9P Ch. 9.4 - Prob. 10P Ch. 9.4 - Prob. 11P Ch. 9.4 - Prob. 12P Ch. 9.4 - Prob. 13P Ch. 9.4 - Prob. 14P Ch. 9.4 - Prob. 15P Ch. 9.4 - Prob. 16P Ch. 9.4 - Prob. 17P Ch. 9.5 - Prob. 1P Ch. 9.5 - Prob. 2P Ch. 9.5 - Prob. 3P Ch. 9.5 - Prob. 4P Ch. 9.5 - Prob. 5P Ch. 9.5 - Prob. 6P Ch. 9.5 - Prob. 7P Ch. 9.5 - Prob. 8P Ch. 9.5 - Prob. 9P Ch. 9.5 - Prob. 10P Ch. 9.5 - Prob. 11P Ch. 9.5 - Prob. 12P Ch. 9.5 - Prob. 13P Ch. 9.5 - Prob. 14P Ch. 9.5 - Prob. 15P Ch. 9.5 - Prob. 16P Ch. 9.5 - Prob. 17P Ch. 9.5 - Prob. 18P Ch. 9.5 - Prob. 19P Ch. 9.5 - Prob. 20P Ch. 9.5 - Prob. 21P Ch. 9.5 - Prob. 22P Ch. 9.5 - Prob. 23P Ch. 9.5 - Prob. 24P Ch. 9.5 - Prob. 25P Ch. 9.6 - Prob. 1P Ch. 9.6 - Prob. 2P Ch. 9.6 - Prob. 3P Ch. 9.6 - Prob. 4P Ch. 9.6 - Prob. 5P Ch. 9.6 - Prob. 6P Ch. 9.6 - Prob. 7P Ch. 9.6 - Prob. 8P Ch. 9.6 - Prob. 9P Ch. 9.6 - Prob. 10P Ch. 9.6 - Prob. 11P Ch. 9.6 - Prob. 12P Ch. 9.6 - Prob. 13P Ch. 9.6 - Prob. 14P Ch. 9.6 - Prob. 15P Ch. 9.6 - Prob. 16P Ch. 9.6 - Prob. 17P Ch. 9.6 - Prob. 18P Ch. 9.6 - Prob. 19P Ch. 9.6 - Prob. 20P Ch. 9.6 - Prob. 21P Ch. 9.6 - Prob. 22P Ch. 9.6 - Prob. 23P Ch. 9.6 - Prob. 24P Ch. 9.6 - Prob. 25P Ch. 9.6 - Prob. 26P Ch. 9.7 - Prob. 1P Ch. 9.7 - Prob. 2P Ch. 9.7 - Prob. 3P Ch. 9.7 - Prob. 4P Ch. 9.7 - Prob. 5P Ch. 9.7 - Prob. 6P Ch. 9.7 - Prob. 7P Ch. 9.7 - Prob. 8P Ch. 9.7 - Prob. 9P Ch. 9.7 - Prob. 10P Ch. 9.7 - Prob. 11P Ch. 9.7 - Prob. 12P Ch. 9 - Prob. 1SYU Ch. 9 - Prob. 2SYU Ch. 9 - Prob. 3SYU Ch. 9 - Prob. 4SYU Ch. 9 - Prob. 5SYU Ch. 9 - Prob. 6SYU Ch. 9 - Prob. 7SYU Ch. 9 - Prob. 8SYU Ch. 9 - Prob. 9SYU Ch. 9 - Prob. 10SYU Ch. 9 - Prob. 11SYU Ch. 9 - Prob. 12SYU Ch. 9 - Prob. 13SYU Ch. 9 - Prob. 14SYU Ch. 9 - Prob. 15SYU Ch. 9 - Prob. 16SYU Ch. 9 - Prob. 17SYU Ch. 9 - Prob. 18SYU Ch. 9 - Prob. 19SYU Ch. 9 - Prob. 20SYU Ch. 9 - Prob. 21SYU Ch. 9 - Prob. 22SYU Ch. 9 - Prob. 23SYU Ch. 9 - Prob. 24SYU Ch. 9 - Prob. 25SYU Ch. 9 - Prob. 26SYU Ch. 9 - Prob. 27SYU Ch. 9 - Prob. 28SYU Ch. 9 - Prob. 29SYU Ch. 9 - Prob. 30SYU Ch. 9 - Prob. 31SYU Ch. 9 - Prob. 32SYU Ch. 9 - Prob. 33SYU Ch. 9 - Prob. 34SYU Ch. 9 - Prob. 35SYU Ch. 9 - Prob. 36SYU Ch. 9 - Prob. 37SYU Ch. 9 - Prob. 38SYU Ch. 9 - Prob. 39SYU Ch. 9 - Prob. 40SYU Ch. 9 - Prob. 41SYU Ch. 9 - Prob. 42SYU Ch. 9 - Prob. 43SYU Ch. 9 - Prob. 44SYU Ch. 9 - Prob. 45SYU Ch. 9 - Prob. 46SYU Ch. 9 - Prob. 47SYU Ch. 9 - Prob. 48SYU Ch. 9 - Prob. 49SYU Ch. 9 - Prob. 50SYU Ch. 9 - Prob. 51SYU Ch. 9 - Prob. 52SYU Ch. 9 - Prob. 53SYU Ch. 9 - Prob. 54SYU Ch. 9 - Prob. 55SYU Ch. 9 - Prob. 56SYU Ch. 9 - Prob. 57SYU Ch. 9 - Prob. 58SYU Ch. 9 - Prob. 59SYU Ch. 9 - Prob. 60SYU Ch. 9 - Prob. 61SYU Ch. 9 - Prob. 62SYU Ch. 9 - Prob. 63SYU Ch. 9 - Prob. 64SYU Ch. 9 - Prob. 65SYU Ch. 9 - Prob. 66SYU Ch. 9 - Prob. 67SYU Ch. 9 - Prob. 68SYU Ch. 9 - Prob. 69SYU Ch. 9 - Prob. 70SYU Ch. 9 - Prob. 1FOT Ch. 9 - Prob. 2FOT Ch. 9 - Prob. 3FOT Ch. 9 - Prob. 4FOT Ch. 9 - Prob. 5FOT Ch. 9 - Prob. 6FOT Ch. 9 - Prob. 7FOT Ch. 9 - Prob. 8FOT Ch. 9 - Prob. 9FOT Ch. 9 - Prob. 10FOT Ch. 9 - Prob. 11FOT Ch. 9 - Prob. 12FOT Ch. 9 - Prob. 13FOT Ch. 9 - Prob. 14FOT Ch. 9 - Prob. 15FOT Ch. 9 - Prob. 16FOT Ch. 9 - Prob. 17FOT Ch. 9 - Prob. 18FOT Ch. 9 - Prob. 19FOT Ch. 9 - Prob. 20FOT Ch. 9 - Prob. 21FOT

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Find the particular solution for differential equation d Q d t = 0.3 Q − 120 ; Q = 50 w h e n t = 0 .

Solution Summary: The author compares the general solution to the differential equation dyt=k(y-A) and the particular solution is Q=400-350e0.3t

Concept explainers

Videos

Find the particular solution for differential equation dQdt=0.3Q−120; Q=50 when t=0.

Want to see the full answer?

Chapter 9 Solutions