Explanation Given: The differential equation is y ′ ( t ) = t 2 − 3 y 2 . Calculation: Consider y ′ ( t ) = t 2 − 3 y 2 . Given that the solution curve passes through the point ( 3 , 1 ) . Substitute y = 1 and t = 3 in y ′ ( t ) =

Calculus: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134763644

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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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 9.2, Problem 2E

To determine

To Find: The slope of the curve at (3,1) .

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Chapter 9.2, Problem 1E

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Calculus: Early Transcendentals (3rd Edition)

Ch. 9.1 - What are the orders of the equations in Example 2?...Ch. 9.1 - What is the solution of the initial value problem...Ch. 9.1 - Solve the initial value problem in Example 4a with...Ch. 9.1 - Suppose the initial conditions in Example 5a are...Ch. 9.1 - In Example 7, if the height function were given by...Ch. 9.1 - Consider the differential equation y(t) + 9y(t) =...Ch. 9.1 - If the general solution of a differential equation...Ch. 9.1 - Does the function y(t) = 2t satisfy the...Ch. 9.1 - Does the function y(t) = 6e3t satisfy the initial...Ch. 9.1 - The solution to the initial value problem y(t) = 2...

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The slope of the curve at ( 3 , 1 ) .

Solution Summary: The author explains that the slope of the curve at (3,1) is 6.