2 Which of the Following Is a Second-order Derivative Operator
Since the constants may depend on the other variable y the general solution of the PDE will be uxy fycosx gysinx. The term ordinary is used in contrast.
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Where f and gare arbitrary functions.
. An ordinary differential equation ODE is an equation containing an unknown function of one real or complex variable x its derivatives and some given functions of xThe unknown function is generally represented by a variable often denoted y which therefore depends on xThus x is often called the independent variable of the equation. The derivatives of scalars vectors and second-order tensors with respect to second-order tensors are of considerable use in continuum mechanicsThese derivatives are used in the theories of nonlinear elasticity and plasticity particularly in the design of algorithms for numerical simulations. The directional derivative provides a systematic way of finding these derivatives.
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