Determine whether the given function is a solution to the given differential equation. d²0 de dt² 8=2e4t-5e5t -0- +50= -43e5t dt The function 0=2e4t-5e5t d²0 dt substituted for a solution to the differential equation the two sides of the differential equation d²0 dt² de dt *** de +50= -43e5t, because when 2e4t-5e5t is substituted for 0, is substituted for dt and equivalent on any intervals of t

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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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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Determine whether the given function is a solution to the given differential equation.
d²0 de
-0-
dt²
dt
0=2e4t-5e5t
+50= -43e5t
The function 0=2e4t-5e5t
d²0
the two sides of the differential equation
dt²
substituted for
a solution to the differential equation
d²0
dt²
-0
C
de
+50= -43e5t, because when 2e4t-5e5t is substituted for 0,
dt
equivalent on any intervals of t
is substituted for
de
dt
and
is
Transcribed Image Text:Determine whether the given function is a solution to the given differential equation. d²0 de -0- dt² dt 0=2e4t-5e5t +50= -43e5t The function 0=2e4t-5e5t d²0 the two sides of the differential equation dt² substituted for a solution to the differential equation d²0 dt² -0 C de +50= -43e5t, because when 2e4t-5e5t is substituted for 0, dt equivalent on any intervals of t is substituted for de dt and is
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