Solved

In the Previous Two Problems, the Product Solutions Are
A) sin((n1/2)πx/L)e(n1/2)2π2t/L2\sin ( ( n - 1 / 2 ) \pi x / L ) e ^ { - ( n - 1 / 2 ) ^ { 2 } \pi ^ { 2 } t / L ^ { 2 } }

Question 2

Multiple Choice

In the previous two problems, the product solutions are


A) sin((n1/2) πx/L) e(n1/2) 2π2t/L2\sin ( ( n - 1 / 2 ) \pi x / L ) e ^ { - ( n - 1 / 2 ) ^ { 2 } \pi ^ { 2 } t / L ^ { 2 } }
B) cos((n1/2) πx/L) e(n1/2) 2π2t/L2\cos ( ( n - 1 / 2 ) \pi x / L ) e ^ { - ( n - 1 / 2 ) ^ { 2 } \pi ^ { 2 } t / L ^ { 2 } }
C) sin((n1/2) πx/L) e(n1/2) /L\sin ( ( n - 1 / 2 ) \pi x / L ) e ^ { - ( n - 1 / 2 ) / L }
D) sin((n1/2) πx/L) e(n1/2) 2x2t/L2\sin ( ( n - 1 / 2 ) \pi x / L ) e ^ { ( n - 1 / 2 ) ^ { 2 } x ^ { 2 } t / L ^ { 2 } }
E) cos((n1/2) πx/L) e(n1/2) 2π2t/L2\cos ( ( n - 1 / 2 ) \pi x / L ) e ^ { ( n - 1 / 2 ) ^ { 2 } \pi ^ { 2 } t / L ^ { 2 } }

Correct Answer:

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