Explanation Formula used: “The general solution of the differential equation d y d x = g ( x ) is y = ∫ g ( x ) d x ”. Calculation: The differential equation is d y d x − 12 x 3 = 6 x 2 . Rewrite the differential equation using variable separable method. d y d x = 6 x 2 + 12 x 3 d y = ( 6 x 2 + 12 x 3 ) d x Integrate the differential equation and find the general solution. ∫ d y = ∫ ( 6 x 2 + 12 x 3 ) d x y = 6 [ x 3 3 ] + 12 [ x 4

Finite Mathematics and Calculus with Applications Books a la Carte Plus MyLab Math Package (10th Edition)

10th Edition

ISBN: 9780133935592

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Differential Equations

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Chapter 16.5, Problem 2YT

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To find: The particular solution for the differential equation dydx−12x3=6x2 whose initial condition is y(2)=60 .

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Chapter 16.5, Problem 1YT

Chapter 16.5, Problem 3YT

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Finite Mathematics and Calculus with Applications Books a la Carte Plus MyLab Math Package (10th Edition)

Ch. 16.1 - Find xe2xdx.Ch. 16.1 - Find ln2xdx.Ch. 16.1 - Prob. 3YT Ch. 16.1 - Find 1ex2lnxdx.Ch. 16.1 - Prob. 5YT Ch. 16.1 - Prob. 1WE Ch. 16.1 - Find the following. W2.(3x52x3)dx Ch. 16.1 - Find the following. W3.(x23+1x)dx Ch. 16.1 - Prob. 4WE Ch. 16.1 - Use integration by parts to find the integrals in...

Ch. 16.1 - Prob. 6WE Ch. 16.1 - Use integration by parts to find the integrals in...Ch. 16.1 - Use integration by parts to find the integrals in...Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E Ch. 16.1 - Prob. 5E Ch. 16.1 - Use integration by parts to find the integrals in...Ch. 16.1 - Prob. 7E Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E Ch. 16.1 - Prob. 10E Ch. 16.1 - Prob. 11E Ch. 16.1 - Prob. 12E Ch. 16.1 - Prob. 13E Ch. 16.1 - Prob. 14E Ch. 16.1 - Prob. 15E Ch. 16.1 - Prob. 16E Ch. 16.1 - Prob. 17E Ch. 16.1 - Prob. 18E Ch. 16.1 - Prob. 19E Ch. 16.1 - Exercises 1322 are mixedsome require integration...Ch. 16.1 - Prob. 21E Ch. 16.1 - Prob. 22E Ch. 16.1 - Prob. 23E Ch. 16.1 - Prob. 24E Ch. 16.1 - Prob. 25E Ch. 16.1 - Prob. 26E Ch. 16.1 - Prob. 27E Ch. 16.1 - Prob. 28E Ch. 16.1 - What rule of differentiation is related to...Ch. 16.1 - Prob. 30E Ch. 16.1 - Suppose that u and v are differentiable functions...Ch. 16.1 - Prob. 32E Ch. 16.1 - Prob. 33E Ch. 16.1 - Prob. 34E Ch. 16.1 - Prob. 35E Ch. 16.1 - 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The particular solution for the differential equation d y d x − 12 x 3 = 6 x 2 whose initial condition is y ( 2 ) = 60 .

Solution Summary: The author explains how to find the particular solution for the differential equation dy.

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To find: The particular solution for the differential equation dydx−12x3=6x2 whose initial condition is y(2)=60 .

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Chapter 16 Solutions