Example on abels theorem, Mathematics

Assignment Help:

Without solving, find out the Wronskian of two solutions to the subsequent differential equation.

t4 y'' - 2t3 y' - t8y = 0

Solution:

First thing that we want to do is divide the differential equation through the coefficient of the second derivative as that requires being a one. This provides us

y'- (2/t) y' t4 y = 0

Here by using (3) the Wronskian is,

1588_differential equation.pngW = ce-(- (2/t) dt = ce2In t

=

= ct2


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