Solve the wave equation 25 (𝝏^𝟐 𝒖)/𝝏𝒙^𝟐 =(𝝏^𝟐 𝒖)/𝝏𝒕^𝟐 𝒖(𝒙,𝟎)={(𝟐𝟎𝒙 𝟎≤𝒙≤𝟏, 𝟓(𝟓−𝒙) 𝟏≤𝒙≤𝟓) h=1, 𝟎≤𝒕≤𝟏.

21MAT31 : Solve the wave equation 25 (𝝏^𝟐 𝒖)/〖𝝏𝒙〗^𝟐 =(𝝏^𝟐 𝒖)/〖𝝏𝒕〗^𝟐 subject to 𝒖=(𝟎,𝒕)=𝟎=𝒖(𝟓,𝒕), 𝒖_𝒕 (𝒙,𝟎)=𝟎 & 𝒖(𝒙,𝟎)={(𝟐𝟎𝒙 𝟎≤𝒙≤𝟏 𝟎@𝟓(𝟓−𝒙) 𝟏≤𝒙≤𝟓) by taking h=1, 𝟎≤𝒕≤𝟏.
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