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Please make sure you solve both correctly. 1) Solve the given system of differential equations by systematic...

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Advance Math

Please make sure you solve both correctly.

1) Solve the given system of differential equations bysystematic elimination.

(2D2 − D − 1)x − (2D + 1)y=8
(D − 1)x + Dy=−8

((x(t),y(t))= ?

2)

Solve the given initial-value problem.

dx
dt

= y − 1

dy
dt

= −7x + 2y

x(0) = 0, y(0) = 0

x(t) = ?

y(t)= ?

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