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2.Use separation of variables to solve (3x^2(1-y^2))/2y with initial condition y(1)=2. 3.State the solution of the...

2.Use separation of variables to solve (3x^2(1-y^2))/2y with initial condition y(1)=2.

3.State the solution of the homogeneous ODE with roots of its characteristic equation of r= 1,1,1,+-7i,3+-5i.

4.Consider the system of linear equations:

2x+6y+z=7

x+2y-z=-1

5x+7y-4z=9

solve this system using: a) Carmer's rule, b)Gauss-Jordan elimination, c) an inverse matrix.

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