#4 || Problem#3 || PDE || Eliminating the arbitrary constant || 𝒙^𝟐/𝒂^𝟐 +π’š^𝟐/𝒃^𝟐 +𝒛^𝟐/𝒄^𝟐 =𝟏 ||

18MAT21 : Module : 3 : Partial Differential Equation. Problem : Form a PDE by eliminating the arbitrary constant of the equation 𝒙^𝟐/𝒂^𝟐 +π’š^𝟐/𝒃^𝟐 + 𝒛^𝟐/𝒄^𝟐 =𝟏 #MathEConnect #Shafiqahmedyellur

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#5 || Problem#1|| PDE by eliminating the arbitrary function of the equation. 𝒛=(𝒙+π’š)βˆ…(𝒙^πŸβˆ’π’š^𝟐) ||
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#5 || Problem#1|| PDE by eliminating the arbitrary function of the equation. 𝒛=(𝒙+π’š)βˆ…(𝒙^πŸβˆ’π’š^𝟐) ||

#18 Problem#4||PDE by direct integration||(𝝏^𝟐 𝒛)/ππ’™ππ’š=π’”π’Šπ’π’™π’”π’Šπ’π’š,||𝝏𝒛/ππ’š=βˆ’πŸπ’”π’Šπ’π’š, 𝒙=𝟎 and 𝒛=𝟎 π’š=𝝅/𝟐||
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#18 Problem#4||PDE by direct integration||(𝝏^𝟐 𝒛)/ππ’™ππ’š=π’”π’Šπ’π’™π’”π’Šπ’π’š,||𝝏𝒛/ππ’š=βˆ’πŸπ’”π’Šπ’π’š, 𝒙=𝟎 and 𝒛=𝟎 π’š=𝝅/𝟐||

#6 || Problem#2 || PDE by eliminating the arbitrary function of the equation𝒛=𝒇(𝒙+𝒂𝒕)+π’ˆ(π’™βˆ’π’‚π’•) ||
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#6 || Problem#2 || PDE by eliminating the arbitrary function of the equation𝒛=𝒇(𝒙+𝒂𝒕)+π’ˆ(π’™βˆ’π’‚π’•) ||

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