Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e. (a) Verify that yp = -3x + 2e* is a particular solution of the differential equation. %3D (b) Show that Ye = c1 cos 2x + c2 sin 2x - 3x + 2e-* is the general solution of the differential equation.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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Consider a nonhomogeneous
differential equation y" + 4y = -12x + 10e*.
(a) Verify that yp = -3x + 2e* is a particular
solution of the differential equation.
%3D
%3D
(b) Show that
Ye = C1 cos 2x + c2 sin 2x – 3x + 2e* is the
general solution of the differential equation.
-
Transcribed Image Text:Consider a nonhomogeneous differential equation y" + 4y = -12x + 10e*. (a) Verify that yp = -3x + 2e* is a particular solution of the differential equation. %3D %3D (b) Show that Ye = C1 cos 2x + c2 sin 2x – 3x + 2e* is the general solution of the differential equation. -
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