Given the differential equation: y"+3y'- 4y = e42 Propose an appropriate particular solution Yp = (A+ + Bx + Cx² + Dæ²) e% O yp = (Ax + Bx² + Cx') e¬4z -4x (A+Bx + Ca? + Da) e-42 O Yp Yp = (Ax + Bx? + Cx³ + Dæ*) e¬1z %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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30c
Given the differential equation:
y" + 3y' - 4y =
e4x
Propose an appropriate particular solution
Yp = (A+
+ Bx + Cx² + Dæ²) e%
-4x
O yp = (Ax + Bx² + Cx³) e¬4z
(A+ Bx + Cx2² + Da³) e-4a
O Yp
(Ax + Bx? + Ca³ + Dx4) e
O Yp
-4x
Transcribed Image Text:Given the differential equation: y" + 3y' - 4y = e4x Propose an appropriate particular solution Yp = (A+ + Bx + Cx² + Dæ²) e% -4x O yp = (Ax + Bx² + Cx³) e¬4z (A+ Bx + Cx2² + Da³) e-4a O Yp (Ax + Bx? + Ca³ + Dx4) e O Yp -4x
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