Problems On Symmetric Functions | If u=1÷(√(x²+y²+z²)) Show That ((∂²u/∂x²)+(∂²u/∂y²)+(∂²u/∂z²))=0

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Partial Differentiation | Multivariable Calculus | u = 1/√(x² + y² + z²), ∂²u/∂x²+∂²u/∂y²+∂²u/∂z²= 0 Partial Differentiation | Multivariable Calculus | u = 1/√(x² + y² + z²), ∂²u/∂x²+∂²u/∂y²+∂²u/∂z²= 0
Problems On Symmetric Functions | If u=log√(x²+y²+z²) ST (x²+y²+z²)((∂²u/∂x²)+(∂²u/∂y²)+(∂²u/∂z²))=1 Problems On Symmetric Functions | If u=log√(x²+y²+z²) ST (x²+y²+z²)((∂²u/∂x²)+(∂²u/∂y²)+(∂²u/∂z²))=1
IF U=1/√X²+Y²+Z² WHERE X²+Y²+Z²=0 THEN PROVE THAT ∂²U/∂X²+ ∂²U/∂Y²+ ∂²U/∂Z²=0. IF U=1/√X²+Y²+Z² WHERE X²+Y²+Z²=0 THEN PROVE THAT ∂²U/∂X²+ ∂²U/∂Y²+ ∂²U/∂Z²=0.
Partial derivatives - Laplace equation Partial derivatives - Laplace equation
Engg_Maths PD | If u=f(r) Where r=√(x²+y²+z²) ST [(∂²u÷∂x²)+(∂²u÷∂y²)+(∂²u÷∂z²)]=f"(r)+(2÷r)f Engg_Maths PD | If u=f(r) Where r=√(x²+y²+z²) ST [(∂²u÷∂x²)+(∂²u÷∂y²)+(∂²u÷∂z²)]=f"(r)+(2÷r)f'(r)
SIR solved this JEE PYQ in 20 secs 😱 #jee #jeetricks SIR solved this JEE PYQ in 20 secs 😱 #jee #jeetricks
Partial Differentiation of U= Log root X^2+y^2+z^2 , Prove that (X^2+y^2+z^2)(d^2u/Dx^+D^2u/Dy^2+... Partial Differentiation of U= Log root X^2+y^2+z^2 , Prove that (X^2+y^2+z^2)(d^2u/Dx^+D^2u/Dy^2+...
If (x²/a²+u)+(y²/b²+u)+(z²/c²+u)=1, prove that (∂u/∂x)²+(∂u/∂y)²+(∂u/∂z)²=2(x ∂u/∂x+y∂u/∂y+z∂u/∂z)​ If (x²/a²+u)+(y²/b²+u)+(z²/c²+u)=1, prove that (∂u/∂x)²+(∂u/∂y)²+(∂u/∂z)²=2(x ∂u/∂x+y∂u/∂y+z∂u/∂z)​