1. determine id the functions f1(x)=0, f2(x)=0, f3(x)=e^x are linear independent on the interval (-infinity, infinity)
2.for the ode y''-4y=0,
a) verify if y1=cosh2x, y2=sinh2x form a fundamental set of the solutions of y''-4y=0
b) form the general soulution of the ode y''-4y=0
3. a) verify if y(subscript)p=3e^2x is a particular solution of the ode y''-6y'+5y=-9e^2x
b) verify if y(subscript)p=x^2+3x is a particular solution of the ode y''-6y'+5y=5x^2+3x-16
c) find a particular solution of the ode y''-6y'+5y=10x^2+6x-32+9e^2x
d) verify y=c1e^x+c2e^5x is the gerneral solution of the homogeneous ode y''-6y'+5y=0
e)form the general solution of the nonhomogeneous ode y''-6y'+5y=10x^2+6x-32+9e^2x