· Let r(t) = (x(t), y(t), z(t)) be twice differentiable and let u(t) = r(t) · [r'(t) × p"(t)]. Show that u'(t) = r(t) · [r'(t) × p"'(t}).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let r(t) = (x(t), y(t), z(t)) be twice differentiable and let
u(t) = r(t) · [r'(t) × p"(t)].
Show that
u'(t) = r (t) · [r'(t) ×x p"(t).
Transcribed Image Text:Let r(t) = (x(t), y(t), z(t)) be twice differentiable and let u(t) = r(t) · [r'(t) × p"(t)]. Show that u'(t) = r (t) · [r'(t) ×x p"(t).
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