Linearisatie pdv

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Linearisatie pdv

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Ik vond:
\( F'(u)= \left( 2u \frac{ \partial{u} }{ \partial{x} } + \frac{ \partial{} }{ \partial{u} } \frac{ \partial{u} }{ \partial{x} } +\frac{ \partial{^2 u} }{ \partial{x^2} } + u \frac{ \partial{} }{ \partial{u} } \frac{ \partial{^2} }{ \partial{x^2} } u \right) v \vert _{u_0=1} \longrightarrow \)
\( \frac{\partial{v}}{ \partial{t}} =\frac{\partial{v}}{ \partial{x}} + \frac{\partial{^2v}}{ \partial{x^2}} \)
Is dit correct?
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