equations salt analysis acids, bases, and salts benzene organometallic compounds atomic number and mass number more maths pythagoras theorem prime numbers probability and statistics fractions sets trigonometric functions relations and functions sequence and series multiplication tables determinants and matrices ...
trigonometric functionsFourier series expansionsbinomial theoremdifferentiation term by term theoremMapleThis article uses the mathematical software Maple for the auxiliary tool to study the differential problem of two types of trigonometric functions. We can obtain the Fourier series expansions of any order...
A new and simplified method for the solution of linear constant coefficient fractional differential equations of any commensurate order is presented. The solutions are based on the R-function and on specialized Laplace transform pairs derived from the principal fractional meta-trigonometric functions. The...
F. “Integral inequalities for convex functions of operators on martingales.” Proc. Sixth Berkeley Symp. Math. Statist. Prob., Univ. of Calif. Press, 2 (1972) 223–240. MathSciNet Google Scholar Cabana, E. M. “Stochastic integration in separable Hilbert spaces.” Montevideo Publ. Inst....
Earlier the existence and uniqueness of the solution in strong sense of SDE generated by the modeled diffusion process has been proved. In the current work the drift and diffusion coefficients have been smoothed and approximated by the trigonometric functions with sought amplitude and phase ...
Chapter 1 - Fundamentals The Calculus dxand ∫. Differential Calculus
We consider real trigonometric polynomial Bernoulli equations of the form A(θ)y′=B1(θ)+Bn(θ)yn where n≥2, with A,B1,Bn being trigonometric polynomials of degree at most μ≥1 in variables θ and Bn(θ)≢0. We also consider trigonometric polynomial
Relation between Derived Trigonometrical Functions Derivative of the Sine Function Example differentiate sin(2x + 4) back to top Derivative of the Cosine Function Example differentiate cos3x back to top Derivative of the Tangent Function back to top Derivative of the Cosecant Function back to top...
An ordinary differential equation involves functions of one independent variable and their derivatives.Definition, Applications of ODE, Order of ODE, problems and solutions at BYJU’S.
In this paper, a method has been proposed to finding a numerical function for the Riccati differential equations of non integer order (FRDEs), in which trigonometric basic functions are used. First, by defining trigonometric basic functions, we define the values of the transformation function in ...