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Show That T(t,x)=cos⁡(2x)e−4tT ( t , x ) = \cos ( 2 x ) e ^ { - 4 t }

Question 49

Essay

Show that T(t,x)=cos⁡(2x)e−4tT ( t , x ) = \cos ( 2 x ) e ^ { - 4 t } satisfies the heat equation δTδt=δ2Tδx2\frac { \delta T } { \delta t } = \frac { \delta ^ { 2 } T } { \delta x ^ { 2 } }

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