Category 21mat11

Find the orthogonal trajectories of the family of curvesΒ π‘₯^2/π‘Ž^2 + 𝑦^2/(𝑏^2+ πœ†) = 1, where πœ† 𝑖𝑠 π‘Ž π‘π‘Žπ‘Ÿπ‘Žπ‘šπ‘’π‘‘π‘’π‘Ÿ

In this article, you will get the answer of Find the orthogonal trajectories of the family of curvesΒ π‘₯2/π‘Ž2 + 𝑦2/(𝑏2+ πœ†) = 1, where πœ† 𝑖𝑠 π‘Ž π‘π‘Žπ‘Ÿπ‘Žπ‘šπ‘’π‘‘π‘’π‘Ÿ of VTU…

IfΒ  π‘₯ + 𝑦 + 𝑧 = 𝑒, 𝑦 + 𝑧 = π‘’π‘£Β π‘Žπ‘›π‘‘ 𝑧 = 𝑒𝑣𝑀, 𝑓𝑖𝑛𝑑 πœ•(π‘₯,𝑦,𝑧)/πœ•(𝑒,𝑣,𝑀)

In this article, you will get the answer of IfΒ  π‘₯ + 𝑦 + 𝑧 = 𝑒, 𝑦 + 𝑧 = π‘’π‘£Β π‘Žπ‘›π‘‘ 𝑧 = 𝑒𝑣𝑀, 𝑓𝑖𝑛𝑑 πœ•(π‘₯,𝑦,𝑧)/πœ•(𝑒,𝑣,𝑀) of VTU Calculus…

Β IfΒ  𝑧 = 𝑒^π‘Žπ‘₯+𝑏𝑦 𝑓(π‘Žπ‘₯ βˆ’ 𝑏𝑦),Β  show that 𝑏 (πœ•π‘§/πœ•π‘₯)+ π‘Ž(πœ•π‘§/πœ•π‘¦)= 2π‘Žπ‘π‘§

In this article, you will get the answer of Β IfΒ  𝑧 = π‘’π‘Žπ‘₯+𝑏𝑦 𝑓(π‘Žπ‘₯ βˆ’ 𝑏𝑦),Β  show that 𝑏 (πœ•π‘§/πœ•π‘₯)+ π‘Ž(πœ•π‘§/πœ•π‘¦)= 2π‘Žπ‘π‘§ of VTU Calculus and Differential Equation math 21MAT11…