You can verify that the differential equation: ?7x2y???14x(x?1)y?+14(x?1)y=0?7x2y??14x(x?1)y?+14(x?1)y=0, x>0x>0 has solutions y1=3xy1=3x and y2=5xexp(?2x)y2=5xexp?(?2x). Compute the Wronskian WW between...

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You can verify that the differential equation:?7x2y???14x(x?1)y?+14(x?1)y=0?7x2y??14x(x?1)y?+14(x?1)y=0,x>0x>0 has solutions y1=3xy1=3x andy2=5xexp(?2x)y2=5xexp?(?2x).

  1. Compute the Wronskian WW between y1y1 and y

  2. The solutions y1y1 and y2y2 form a fundamental set of solutionsbecause there is a point x0x0 where W(x0)?0W(x0)?0

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