Consider the system x' = Ax + g(t), where -3 A = and g(t) %3D (a) Find the general solution.

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Q: B- Find the fixed point and stability for the difference equation (map) Xn+1 = x + 1.

A: Given difference equation is  xn+1 = x2n + 1…

Q: Q: Solve (3xy+ y ) dx+(x +xy) dy = 0

A: 3xy + y2dx + x2+xydy =0 3xy + y2dx =- x2+xydy  dydx=-3xy + y2 x2+xy Put y = vxv + xdvdx =-3x.vx +…

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Q: Eliminate the arbitrary constant. y=Ax² + Bx³ 7xy "-x²y + 15y = 0 A (В) B (C) D x²y-7xy "+ 15y = 0…

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Q: Find the linearization of y = 3xe²x-10 at x = 5. %3D

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Q: Y= (10x; + x, } (5x, + x}} 15

A: We have to differentiate partially to this equation:

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Q: Suz z², Y > x², y + 2x – 3 < 0

A: The given system of the inequalities is: y≥x2,y+2x-3&lt;0   The equation y=x2 represents the…

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A: Given,