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This video contains complete solution of MTH301 (Differential Equations / Calculus of Several Variables) including:


Question 1: Partial Derivatives
∂f∂x, ∂f∂y, ∂f∂z\frac{\partial f}{\partial x},\ \frac{\partial f}{\partial y},\ \frac{\partial f}{\partial z}∂x∂f​, ∂y∂f​, ∂z∂f​


Question 2: Laplace’s Equation
Verification whether
∂2f∂x2+∂2f∂y2=0\frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} = 0∂x2∂2f​+∂y2∂2f​=0


Question 3: Chain Rule using
dwdt=∂w∂xdxdt+∂w∂ydydt\frac{dw}{dt} = \frac{\partial w}{\partial x}\frac{dx}{dt} + \frac{\partial w}{\partial y}\frac{dy}{dt}dtdw​=∂x∂w​dtdx​+∂y∂w​dtdy​


The solution is written in easy steps, understandable for Virtual University (VU) students.

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