Verify that the differential operator defined by L[ y] =
Question and Solution
Verify that the differential operator defined by L[ y] = y(n) + p1(t)y(n?1) + ? + pn(t)y is a linear operator. That is,
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Verify that the differential operator defined by L[ y] = y(n) + p1(t)y(n?1) + ? + pn(t)y is a linear operator. That is, show that L[c1y1 + c2y2] = c1L[ y1] + c2L[ y2], where y1 and y2 are n times differentiable functions and c1 and c2 are arbitrary constants. Hence show that if y1, y2,
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