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In: Advanced Math

a) verify that y1 and y2 are fundamental solutions b) find the general solution for the...

a) verify that y1 and y2 are fundamental solutions

b) find the general solution for the given differential equation

c) find a particular solution that satisfies the specified initial conditions for the given differential equation

1. y'' + y' = 0; y1 = 1 y2 = e^-x; y(0) = -2 y'(0) = 8

2. x^2y'' - xy' + y = 0; y1 = x y2 = xlnx; y(1) = 7 y'(1) = 2

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