SOLUTION: First-order sysytem ff linear differential equations 1. x'=-x, y' =x-y, z' =y-z, x(0) = 2, y(0) = 1, z(0)= 0 2. x'=y-z, y' =z-x, z' =x-y, x(0) = 2, y(0) = -1, z(0)= -1
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Question 1160294
:
First-order sysytem ff linear differential equations
1. x'=-x, y' =x-y, z' =y-z, x(0) = 2, y(0) = 1, z(0)= 0
2. x'=y-z, y' =z-x, z' =x-y, x(0) = 2, y(0) = -1, z(0)= -1
Answer by
solver91311(24713)
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You can
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=========================================
Let
and multiply by
Substitute
Reverse the product rule:
Integrate
where
is an arbitrary constant
Divide both sides by
====================================================
Let
and multiply by
Substitute
Reverse the product rule:
Integrate
where
is an arbitrary constant
Divide both sides by
=====================================
Same process for
which yields
John
My calculator said it, I believe it, that settles it
