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Given the differential equation y" + 4 y' - 12y = 10x2 + 7 (1) Find the characteristic equation, (2) Solve the characteristic equation, and (3) equation. A y = C, x-6 + C,x2

Given the differential equation y" + 4 y' - 12y = 10x2 + 7 (1) Find the characteristic equation, (2) Solve the characteristic equation, and (3) equation. A y = C, x-6 + C,x2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the differential equation y" + 4 y' - 12y 10x2 + 7 %3! (1) Find the characteristic equation, (2) Solve the characteristic equation, and (3) Write the general solution of the characteristic equation. Ac = C,x-6 + C, x2 -6x B Yc = C,e- + 3/5 cos 3/5 sin 10 10 2.275x + C, e-5.275x = C 70 70 E) y. = C, cos 10 + C, sin 10 1.772x -6.772x 'c = C, + C,e F
Transcribed Image Text:Given the differential equation y" + 4 y' - 12y 10x2 + 7 %3! (1) Find the characteristic equation, (2) Solve the characteristic equation, and (3) Write the general solution of the characteristic equation. Ac = C,x-6 + C, x2 -6x B Yc = C,e- + 3/5 cos 3/5 sin 10 10 2.275x + C, e-5.275x = C 70 70 E) y. = C, cos 10 + C, sin 10 1.772x -6.772x 'c = C, + C,e F
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