Explanation Given: The given initial value problem is: d y d x = 4 x 3 − 3 x 2 + x ; y ( 1 ) = 0 Approach: General solution of d y d x = g ( x ) : y = ∫ g ( x ) d x Calculation: Consider the given initial value problem: d y d x = 4 x 3 − 3 x 2 + x ; y ( 1 ) = 0 Simplify to general form: d y d x = 4 x 3 − 3 x 2 + x Apply the formula: y = ∫ ( 4 x 3 − 3 x 2 + x ) d x = 4 ⋅ x 3 + 1 3 + 1 − 3 ⋅ x 2 + 1 2 + 1 + x 1 + 1 1 + 1 + c

2nd Edition

ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

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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 20E

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To find:

The particular solution for the given initial value problem dydx=4x3−3x2+x; y(1)=0.

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Chapter 11.1, Problem 19E

Chapter 11.1, Problem 21E

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The particular solution for the given initial value problem d y d x = 4 x 3 − 3 x 2 + x ; y ( 1 ) = 0 .

Solution Summary: The author explains how to find the particular solution for the given initial value problem.

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To find:

The particular solution for the given initial value problem dydx=4x3−3x2+x; y(1)=0.

Want to see the full answer?

Chapter 11 Solutions

The particular solution for the given initial value problem d y d x = 4 x 3 − 3 x 2 + x ; y ( 1 ) = 0 .

Solution Summary: The author explains how to find the particular solution for the given initial value problem.

Concept explainers

Videos

To find: The particular solution for the given initial value problem dydx=4x3−3x2+x; y(1)=0.

Want to see the full answer?

Chapter 11 Solutions

To find:

The particular solution for the given initial value problem dydx=4x3−3x2+x; y(1)=0.