Explanation Given: The given function is: ( y 2 − y ) d y d x = x Approach: General solution of d y d x = p ( x ) q ( y ) : ∫ q ( y ) d y = ∫ p ( x ) d x Calculation: Consider the given function: ( y 2 − y ) d y d x = x Simplify to general form: d y d x = x y 2 − y Apply the formula: ∫ ( y 2 − y ) d y = ∫ x d x y 2 + 1 2 + 1 − y 1 + 1 1 + 1 = x 1 + 1 1 + 1 + c y 3 3 −

2nd Edition

ISBN: 9780321964458

Author: Lial

Publisher: PEARSON EDUCATION (COLLEGE)

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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…

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Chapter 11.1, Problem 10E

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The general solution and also verify the solution for the given differential equation (y2−y)dydx=x.

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Chapter 11.1, Problem 9E

Chapter 11.1, Problem 11E

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u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (ū+v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅w) Support your answer mathematically or a with a written explanation. d) If possible, find u. (vxw) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Question 3 (6 points) u, v and w are three coplanar vectors: ⚫ w has a magnitude of 10 and points along the positive x-axis ⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x- axis ⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x- axis ⚫ vector v is located in between u and w a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane. b) If possible, find w × (u + v) Support your answer mathematically or a with a written explanation. c) If possible, find v. (ū⋅ w) Support your answer mathematically or a with a written explanation. d) If possible, find u (v × w) Support your answer mathematically or a with a written explanation. Note: in this question you can work with the vectors in geometric form or convert them to algebraic vectors.

Chapter 11 Solutions

EBK CALCULUS FOR THE LIFE SCIENCES

Ch. 11.1 - YOUR TURN 1 Find all solutions of the differential...Ch. 11.1 - Prob. 2YT Ch. 11.1 - Prob. 3YT Ch. 11.1 - YOUR TURN In Example 6, find the goat population...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Prob. 2E Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E

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The general solution and also verify the solution for the given differential equation ( y 2 − y ) d y d x = x .

Solution Summary: The author explains how to find the general solution and verify the solution for the given differential equation.

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To find:

The general solution and also verify the solution for the given differential equation (y2−y)dydx=x.

Want to see the full answer?

Chapter 11 Solutions

The general solution and also verify the solution for the given differential equation ( y 2 − y ) d y d x = x .

Solution Summary: The author explains how to find the general solution and verify the solution for the given differential equation.

Concept explainers

Videos

To find: The general solution and also verify the solution for the given differential equation (y2−y)dydx=x.

Want to see the full answer?

Chapter 11 Solutions

To find:

The general solution and also verify the solution for the given differential equation (y2−y)dydx=x.