Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)=x₂ using the following values. - 3 sec (t) ^ [] [] [] [ A= ,f(t)= ,x(0) = At cos (t) sin (t) x(t) = (Use parentheses to clearly denote the argument of each function.) sin(t) cos (t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following
values.
0
%]* [:]-[
,x(0) =
At
0
-[i-1] «
A=
f(t) =
- 3 sec (t)
cos (t) - sin(t)
sin (t)
cos (t)
x(t) =
(Use parentheses to clearly denote the argument of each function.)
Transcribed Image Text:Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following values. 0 %]* [:]-[ ,x(0) = At 0 -[i-1] « A= f(t) = - 3 sec (t) cos (t) - sin(t) sin (t) cos (t) x(t) = (Use parentheses to clearly denote the argument of each function.)
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