Find the solution of: which satisfies (0) = 1 Solution is: x (t) = -1/3 (e^ (t))+4/3 (e^ (4t)) + 4 ett 3 Input all numbers as integers or fractions, not as decimals. da dt = 4x + e¹

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the solution of:
which satisfies (0) = 1
Solution is:
x (t)
=
-1/3 (e^ (t))+4/3 (e^ (4t))
+
4
ett
3
Input all numbers as integers or fractions, not as decimals.
da
dt
= 4x + e¹
Transcribed Image Text:Find the solution of: which satisfies (0) = 1 Solution is: x (t) = -1/3 (e^ (t))+4/3 (e^ (4t)) + 4 ett 3 Input all numbers as integers or fractions, not as decimals. da dt = 4x + e¹
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