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

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The Answer of Show that $T ( t , x ) = \cos ( 2 x ) e ^ { - 4 t }$ satisfies the heat equation $\frac { \delta T } { \delta t } = \frac { \delta ^ { 2 } T } { \delta x ^ { 2 } }$

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

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