The particular solution of the differential equation y ′ = 0.1 y ( 10 − y ) that satisfies the initial condition y ( 0 ) = 1 .

Question

Want to see the full answer?

Answer 1

Question

Chapter 9.1, Problem 55E

(A)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=1.

(B)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=10.

(C)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=20 and then graph all the particular solutions from part (A), (B), and (C) for x≥0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

uestion 10 of 12 A Your answer is incorrect. L 0/1 E This problem concerns hybrid cars such as the Toyota Prius that are powered by a gas-engine, electric-motor combination, but can also function in Electric-Vehicle (EV) only mode. The figure below shows the velocity, v, of a 2010 Prius Plug-in Hybrid Prototype operating in normal hybrid mode and EV-only mode, respectively, while accelerating from a stoplight. 1 80 (mph) Normal hybrid- 40 EV-only t (sec) 5 15 25 Assume two identical cars, one running in normal hybrid mode and one running in EV-only mode, accelerate together in a straight path from a stoplight. Approximately how far apart are the cars after 15 seconds? Round your answer to the nearest integer. The cars are 1 feet apart after 15 seconds. Q Search M 34 mlp CH

Find the volume of the region under the surface z = xy² and above the area bounded by x = y² and x-2y= 8. Round your answer to four decimal places.

У Suppose that f(x, y) = · at which {(x, y) | 0≤ x ≤ 2,-x≤ y ≤√x}. 1+x D Q Then the double integral of f(x, y) over D is || | f(x, y)dxdy = | Round your answer to four decimal places.

Answer 2

Question

Chapter 9.1, Problem 55E

(A)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=1.

(B)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=10.

(C)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=20 and then graph all the particular solutions from part (A), (B), and (C) for x≥0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 9.1, Problem 55E

(A)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=1.

(B)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=10.

(C)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=20 and then graph all the particular solutions from part (A), (B), and (C) for x≥0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 9.1, Problem 55E

(A)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=1.

(B)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=10.

(C)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=20 and then graph all the particular solutions from part (A), (B), and (C) for x≥0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 9.1, Problem 55E

(A)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=1.

(B)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=10.

(C)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=20 and then graph all the particular solutions from part (A), (B), and (C) for x≥0.

Answer 6

Chapter 9.1, Problem 55E

(A)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=1.

Answer 7

Chapter 9.1, Problem 55E

(A)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=1.

Answer 8

(B)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=10.

Answer 9

(B)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=10.

Answer 10

(C)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=20 and then graph all the particular solutions from part (A), (B), and (C) for x≥0.

Answer 11

(C)

To determine

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=20 and then graph all the particular solutions from part (A), (B), and (C) for x≥0.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Ch. 9.1 - Show that y=Cx+1 is the general solution of the...Ch. 9.1 - Prob. 2MP Ch. 9.1 - Prob. 3MP Ch. 9.1 - Prob. 4MP Ch. 9.1 - Prob. 5MP Ch. 9.1 - Prob. 1ED Ch. 9.1 - Prob. 2ED Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E

The particular solution of the differential equation y ′ = 0.1 y ( 10 − y ) that satisfies the initial condition y ( 0 ) = 1 .

Solution Summary: The author explains how the differential equation yprime satisfies the initial condition and the general solution.

Concept explainers

Videos

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=1.

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=10.

To find: The particular solution of the differential equation y′=0.1y(10−y) that satisfies the initial condition y(0)=20 and then graph all the particular solutions from part (A), (B), and (C) for x≥0.

Want to see the full answer?

Chapter 9 Solutions