Solving Second-Order EquationsIt will turn out that the detailed structure of the solutions is essentially determined by the decomposition type of the equation.FritzSchwarz
This paper presents an algorithm that checks if a given second‐order homogeneous linear differential equation can be reduced to the confluent Heun's equation by using the change of variables transformation and the exp‐product transformation. The main purpose of this paper is finding solutions in ...
J: An Algorithm for Solving Second Order Linear Differential Equations The author presents an algorithm for finding a `closed-form' solution of the differential equation y"+ ay'+ by, where a and b are rational functions of a c... JJ Kovacic - 《Journal of Symbolic Computation》 被引量: ...
2nd orderOdeOrbitalTrajectory In summary, the given equation is a nonhomogeneous second order linear DE. I solved the associated homogeneous DE with constant coefficients and obtained the general solutionuc=Acosθ+Bsinθ. I used variation of parameters to obtain the general solution to ...
This paper aims at solving the second order fuzzy interval equation A.X2 + B=C. The general solution is expressed in an analytical compact form which is directly used for deriving the condition of the solution existence. The proposed method has the advantage to give an exact analytical solutio...
Solve Differential Equation Solve a differential equation analytically by using the dsolve function, with or without initial conditions. Solve a System of Differential Equations Solve a Second-Order Differential Equation Numerically Solve Partial Differential Equation of Tsunami Model Solve Differential Algebrai...
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(although this error does not always occur; sometimes the plot is generated). I do not see why because matlabFunction (for example, in the line "M = matlabFunction(V,'vars', {'t','Y'})" (source:https://www.mathworks.com/help/symbolic/solve-differential-equation-numerically-1.html))...
The aim of this paper is to show that a kind of boundary value problem for second-order ordinary differential equations which reduces to the problem of solving tridiagonal systems of linear equations can be efficiently solved on modern multicore computer architectures. A new method for solving such...
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