A second-order differential equation is a mathematical equation that involves an unknown function, its first derivative, and its second derivative. In other words, a second-order differential equation takes the form: d^2y/dx^2 = f(x, y, dy/dx) where y is the unknown function, x…
read moreRicci calculus describes the rules of index notation and manipulation for tensors and tensor fields on a differentiable manifold. It is another name for absolute differential calculus, which is the foundation of tensor calculus. The Ricci Curvature Tensor is a fundamental component…
read moreA derivative is the instantaneous rate of a change of a variable with respect to another variable. For example, Velocity is the rate of change – or derivative – of an object with respect to time. When we say a plane is…
read moreA first order differential equation is a differential equation that contains only first derivatives. In other words, it does not contain any derivatives higher than the first derivative, such as second derivatives, third derivatives, etc.
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