Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions 1. y(x) = C1e2x + C2ex + 2sinx; y(0) = 0 and y'(0) = 1 C1 = __________ C2 = __________ 2. y(x) = C1sin2x + C2cos2x + 1; y (π/8) = 0 and y′ (π/8) = √2 C1 = __________ C2 = __________
Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions 1. y(x) = C1e2x + C2ex + 2sinx; y(0) = 0 and y'(0) = 1 C1 = __________ C2 = __________ 2. y(x) = C1sin2x + C2cos2x + 1; y (π/8) = 0 and y′ (π/8) = √2 C1 = __________ C2 = __________
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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Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions
1. y(x) = C1e2x + C2ex + 2sinx;
y(0) = 0 and y'(0) = 1
C1 = __________
C2 = __________
2. y(x) = C1sin2x + C2cos2x + 1;
y (π/8) = 0 and y′ (π/8) = √2
C1 = __________
C2 = __________
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