What is the general solution to y" (x) – y (x) = e ? O y (x) C1ze + C2e¬ + e² O y (x) C1e + C2xe* O บ (2) Cie + C20¬I + e* O y (x) C1e" + C2e + 플e

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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What is the general solution to

\[ y''(x) - y(x) = e^x? \]

1. \( y(x) = C_1 e^x + C_2 e^{-x} + e^x \)

2. \( y(x) = C_1 e^x + C_2 x e^x \)

3. \( y(x) = C_1 e^x + C_2 e^{-x} + x e^x \)

4. \( y(x) = C_1 e^x + C_2 e^{-x} + \frac{x}{2} e^x \)
Transcribed Image Text:What is the general solution to \[ y''(x) - y(x) = e^x? \] 1. \( y(x) = C_1 e^x + C_2 e^{-x} + e^x \) 2. \( y(x) = C_1 e^x + C_2 x e^x \) 3. \( y(x) = C_1 e^x + C_2 e^{-x} + x e^x \) 4. \( y(x) = C_1 e^x + C_2 e^{-x} + \frac{x}{2} e^x \)
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