The solution of a certain differential equation is of 6t + best, where a and b are the form y(t) = ae³t = aest + be° constants. The solution has initial conditions y(0) = 4 and y'(0) = 3. Find the solution by using the initial conditions to get linear equations for a and b. y(t) =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The solution of a certain differential equation is of
+ best, where a and b are
6t
the form y(t) = ae³t
= aest + be
constants.
The solution has initial conditions y(0) = 4 and
y'(0) = 3.
Find the solution by using the initial conditions to get
linear equations for a and b.
y(t)
=
Transcribed Image Text:The solution of a certain differential equation is of + best, where a and b are 6t the form y(t) = ae³t = aest + be constants. The solution has initial conditions y(0) = 4 and y'(0) = 3. Find the solution by using the initial conditions to get linear equations for a and b. y(t) =
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