Partial Differentiation | Multivariable Calculus | z=tan(y+ax)+(y–ax)^(3/2), ∂²z/∂x²–a²(∂²z/∂y²) = 0

📘 Calculus & Multivariable Calculus | Partial Differentiation Problem Solution
Lecture: Verification of PDE Relation

📝 Problem Statement:
If
z = tan(y + ax) + (y – ax)^(3/2),
then show that
∂²z/∂x² – a²(∂²z/∂y²) = 0.

🎯 Concepts Used:
✔️ Partial Differentiation of Trigonometric Functions
✔️ Partial Differentiation of Algebraic Powers
✔️ Higher Order Partial Derivatives
✔️ PDE Verification in Multivariable Calculus

✨ This problem demonstrates how to verify a Partial Differential Equation (PDE) by computing second-order derivatives and applying algebraic simplification.

✅ Very useful for Engineering Mathematics, Multivariable Calculus, PDEs, and VTU exam preparation.

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Видео Partial Differentiation | Multivariable Calculus | z=tan(y+ax)+(y–ax)^(3/2), ∂²z/∂x²–a²(∂²z/∂y²) = 0 канала Mathematics Tutor