Linear Independence and the Wronskian - LTCC Online

Linear Independence and the Wronskian - LTCC Online

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日期:2025-05-20
Proof First the Wronskian W = y 1 y 2 ' - y 1 'y 2 has derivative W' = y 1 'y 2 ' + y 1 y 2 '' - y 1 ''y 2 - y 1 'y 2 ' = y 1 y 2 '' - y 1 ''y 2 Since y 1 and y 2 are solutions to the differential equation, we have y 1 '' + p(t)y 1 ' + q(t)y 1 = 0 y 2 '' ...看更多