1) Find all solutions of the form y=ert for the differential equation y" + 3y' + 2y = 0 2) Find all solutions of the form y = tm for the differential equation t²y" — 2ty' + 2y = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 10E
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1. Please help me solve this math problem
1) Find all solutions of the form
y = e
rt
for the differential equation
y" + 3y' + 2y = 0
2) Find all solutions of the form
y = tm
for the differential equation
t²y" — 2ty' + 2y = 0
Transcribed Image Text:1) Find all solutions of the form y = e rt for the differential equation y" + 3y' + 2y = 0 2) Find all solutions of the form y = tm for the differential equation t²y" — 2ty' + 2y = 0
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