I know the exercises is in Spanish, but it is easy to understand.

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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I know the exercises is in Spanish, but it is easy to understand.

1. Demuestre que y=x+ tanx es una solución de: yl + 2xy = 2 +x² + y' (justificar).
2. Demuestre que y=cjex + c2ex +c3e°
+ 3 es una solución de yl -2y || - yl + 2y = 6 (justificar).
3. Si x= cicos4t + c2sin4t es una familia biparamétrica de soluciones de
X + 16x = 0. Determine una solución del problema de valor inicial si x(T/2)= -2; x(T/2)=1.
Transcribed Image Text:1. Demuestre que y=x+ tanx es una solución de: yl + 2xy = 2 +x² + y' (justificar). 2. Demuestre que y=cjex + c2ex +c3e° + 3 es una solución de yl -2y || - yl + 2y = 6 (justificar). 3. Si x= cicos4t + c2sin4t es una familia biparamétrica de soluciones de X + 16x = 0. Determine una solución del problema de valor inicial si x(T/2)= -2; x(T/2)=1.
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