In the Previous Three Problems, the Solution For $u ( x , t )$

question 34

Multiple Choice

In the previous three problems, the solution for $u ( x , t )$ is

• A) \(\int _ { - \infty } ^ { \infty } \left[ e ^ { - i \alpha x } e ^ { k at } / \left( 1 + \alpha ^ { 2 } \right) \right] d \alpha / ( 2 \pi )\)
• B) \(\int _ { - \infty } ^ { \infty } \left[ e ^ { - i \alpha x } e ^ { - k \alpha ^ { 2 } t } / \left( 1 + \alpha ^ { 2 } \right) \right] d \alpha / \pi\)
• C) \(\int _ { - \infty } ^ { \infty } \left[ e ^ { - i \alpha \alpha } e ^ { k \alpha t } / \left( 1 + \alpha ^ { 2 } \right) \right] d \alpha / \pi\)
• D) \(\int _ { - \infty } ^ { \infty } \left[ e ^ { - i \alpha x } e ^ { - k \alpha t } / \left( 1 + \alpha ^ { 2 } \right) \right] d \alpha / \pi\)
• E) \(\int _ { - \infty } ^ { \infty } \left[ e ^ { - i \alpha \alpha } e ^ { k \alpha ^ { 2 } t } / \left( 1 + \alpha ^ { 2 } \right) \right] d \alpha / ( 2 \pi )\)

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