Consider the initial value problem (a) Let y=ez The characteristic equation is y"-10y' + 25y = 0, y(0) = 1, y'(0) = 0 12+ Number A+ Number = 0. (b) The roots of the characteristic equation are A= Separate values with a comma. Use capital I for √-1 (c) A general solution is y= 臣固 You must use capitial A and capital B as your constants of integration. Use real-valued functions. (d) The solution of the initial value problem is y=

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 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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Consider the initial value problem
(a) Let y=ex The characteristic equation is
y" - 10y' + 25y = 0, y(0) = 1, '(0) = 0
12+ Number
A+ Number
= 0.
(b) The roots of the characteristic equation are
Separate values with a comma. Use capital I for I
(c) A general solution is
y=
You must use capitial A and capital B as your constants of integration. Use real-valued functions.
(d) The solution of the initial value problem is
y=
Transcribed Image Text:Consider the initial value problem (a) Let y=ex The characteristic equation is y" - 10y' + 25y = 0, y(0) = 1, '(0) = 0 12+ Number A+ Number = 0. (b) The roots of the characteristic equation are Separate values with a comma. Use capital I for I (c) A general solution is y= You must use capitial A and capital B as your constants of integration. Use real-valued functions. (d) The solution of the initial value problem is y=
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ISBN:
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