This paper contains an explicit form of a differential equation of the type y″=q(t)y, all solutions of which are periodic or half-periodic.doi:10.1007/BF02413540F. NeumanSpringer-VerlagAnnali di Matematica Pura ed Applicata
First, the partial differential equation governing the flow in a 2-D semi-confined aquifer is discretized using a finite difference scheme. This results in a system of discrete equations presented in the form of water balance equations associated with a network of interconnected compartments centred ...
Find the general solution of the separable differential equation \frac{dy}{dx} = (1 + y^2)e^x. Express your answer in explicit form, i.e., in the form y = \ldots Find:separable differential equation Find the general solution for this differenti...
I'm trying to solve differetial equation: Unfortunately result of code: ThemeCopy gamma = 1.4 P0 = 1 Pe = 9.4 R = 0.168 symsS P(t) eqn = diff(P,t) == (3/R)*S*(Pe-P0)*((P/P0)^(1/gamma))*(1-((P0/P)^(1/gamma))*((Pe-P)/(Pe-P0)))^(2/3); dsolve(eqn) is:...
The first thing we want to do when trying to find a general solution for the given differential equation is determine what type of differential equation it is. It doesn't take us very long to realize we are dealing with a homogeneous equation, i.e. it ...
The notable component of the option is the pointer to a PayOff class. This allows us to use a call, put or some other form of pay-off without needing to expose this to the "outside world", which in this instance refers to the FDM solver. Here is the listing for option.h: #ifndef...
For example, suppose you have the implicit equation: to turn into explicit form. You will need to first subtract x2+1 from both sides of the equation, and then take the square root of both sides. The explicit function that results is: ...
Inspired by [30], we first combine a Volterra transformation and an invertible Fredholm transformation to move the local coupling terms Σ⋅⋅ to the boundary (in the form of integral terms). Due to these transformations, non-local coupling terms may appear in the system. Using the method...
The first form of this differentiability coincides with the H-derivative, but the second form describes the problem of the non-decreasing diameter of a fuzzy function if it exists [10]. The SGH derivative includes an intriguing concept of switching points, which represents the interval when the ...
The spatial discretization form of the space-dependent reactor kinetics equation is a first-order simultaneous ordinary differential equation in time. Conventional numerical methods of the space-dependent kinetics equation, i.e., the generalized Runge-Kutta method, the implicit method (backward Euler ...