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1.Find the particular integral of each equation. a)Y"(t)-2Y'(t)+5Y=2 b)Y"(t)+2Y'(t)-Y=-4 c)Y"(t)+Y'(t)=7

1.Find the particular integral of each equation. a)Y"(t)-2Y'(t)+5Y=2 b)Y"(t)+2Y'(t)-Y=-4 c)Y"(t)+Y'(t)=7

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1.Find the particular integral of each equation.

a)Y"(t)-2Y'(t)+5Y=2

b)Y"(t)+2Y'(t)-Y=-4

c)Y"(t)+Y'(t)=7

d)Y"(t)=12

e)Y"(t)+3Y=9

  

2.Find the complementary function of each equation

a) Y"(t)+3Y(t)-4Y=12

b)y"(t)+6y'(t)+5y=10

c) y"(t)-2y'(t)+y=3

d)y"(t)+8y'(t)+16y=0

 

uM uedo Soog e Assignmen , Week 14 EXERCISE 15.7 interpret the resulting equation in terms of t 1. Divide (15.30) through by k, ar growth rates of k, K, and L. 2. Show that, if capital is growing at also be growing at the rate 3. The original input variables of the low model are K and L, but the fundamental eq tion (15.30) focuses on the capi labor ratio k instead. What assumption(s) in model is(are) responsible for (anc ake possible) this shift of focus? Explain. 4. Draw a phase diagram for each o he following, and discuss the qualitative aspects the time path y(): (a) y 3y- Iny e rate 2 (that is, K Ae), net investment/m (b) y (y 2) Page 1 /
Transcribed Image Text:uM uedo Soog e Assignmen , Week 14 EXERCISE 15.7 interpret the resulting equation in terms of t 1. Divide (15.30) through by k, ar growth rates of k, K, and L. 2. Show that, if capital is growing at also be growing at the rate 3. The original input variables of the low model are K and L, but the fundamental eq tion (15.30) focuses on the capi labor ratio k instead. What assumption(s) in model is(are) responsible for (anc ake possible) this shift of focus? Explain. 4. Draw a phase diagram for each o he following, and discuss the qualitative aspects the time path y(): (a) y 3y- Iny e rate 2 (that is, K Ae), net investment/m (b) y (y 2) Page 1 /
Assignmen , Week 14 EXERCISE 15.7 1. Divide (15.30) through by k, ar growth rates of k, K, and L. 2. Show that, if capital is growing at also be growing at the rate i. 3. The original input variables of the low model are Kand L, but the fundamental equa- tion (15.30) focuses on the capi -labor ratio k instead. What assumption(s) in the model is(are) responsible for (and sake possible) this shift of focus? Explain. Draw a phase diagram for each o he following, and discuss the qualitative aspects of the time path y(): (a) y= 3-y In y interpret the resulting equation in terms of the se rate (that is, K Ae), net investment / must (b) y: (y+2) Page 1 1
Transcribed Image Text:Assignmen , Week 14 EXERCISE 15.7 1. Divide (15.30) through by k, ar growth rates of k, K, and L. 2. Show that, if capital is growing at also be growing at the rate i. 3. The original input variables of the low model are Kand L, but the fundamental equa- tion (15.30) focuses on the capi -labor ratio k instead. What assumption(s) in the model is(are) responsible for (and sake possible) this shift of focus? Explain. Draw a phase diagram for each o he following, and discuss the qualitative aspects of the time path y(): (a) y= 3-y In y interpret the resulting equation in terms of the se rate (that is, K Ae), net investment / must (b) y: (y+2) Page 1 1
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