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4 ๐œ•๐‘ข๐œ•๐‘ก + ๐œ•๐‘ข๐œ•๐‘ฅ = 3๐‘ข; given that ๐‘ข(๐‘ฅ, 0) = 3๐‘’โˆ’๐‘ฅ โˆ’ ๐‘’โˆ’5๐‘ฅ.

Question

4 ๐œ•๐‘ข๐œ•๐‘ก + ๐œ•๐‘ข๐œ•๐‘ฅ = 3๐‘ข; given that ๐‘ข(๐‘ฅ, 0) = 3๐‘’โˆ’๐‘ฅ โˆ’ ๐‘’โˆ’5๐‘ฅ.

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Solution

I'm sorry, but you didn't provide a specific question to answer. The equation you've given is a partial differential equation with an initial condition, but you didn't specify what you want to know about it. Do you want to solve the equation? Or do you want to know something specific about its solutions? Please provide more information.

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