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Engineering Physics · Q43

Mathematical Physics

Engineering and GATE · Engineering Physics · question 43

Q43

The solution of the system of differential equations \[ dydx = y - z\] and \[ dzdx = - 4y + z\] is given by (for A and B are arbitrary constants)

The solution of the system of differential equations   and   is given by (for A and B are arbitrary constants)
A.
y(x) = Ae3x + Be-x; z(x) = -2Ae3x + 2Be-x
Answer
B.
y(x) = Ae3x + Be-x; z(x) = 2Ae3x + 2Be-x
C.
y(x) = Ae3x + Be-x; z(x) = 2Ae3x - 2Be-x
D.
y(x) = Ae3x + Be-x; z(x) = -2Ae3x - 2Be-x

Answer: Option A

Solution

Answer: Option A
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