Given a first order autonomous algebraic ordinary differential equation, we present a method for computing formal power series solutions by means of places. We provide an algorithm for computing a full characterization of possible initial values, classified in terms of the number of distinct formal ...
You can use the Laplace transform operator to solve (first‐ and second‐order) differential equations with constant coefficients. The differential equations must be IVP's with the initial condition (s) specified atx= 0. The method is simple to describe. Given an IVP, apply the Laplace transfor...
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 ...
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...
A first-order differential equation with a bounded operator coefficient in Hilbert space is considered. In case the coefficient is constant we establish a ... DZ Arov,IP Gavrilyuk - 《Numerical Functional Analysis & Optimization》 被引量: 20发表: 1993年 Differential effects of genetic vs. envir...
Let's see some examples of first order, first degree DEs. Example 4 a. Find the general solution for the differential equation dy+7xdx=0dy+7xdx=0 b. Find the particular solution given that y(0)=3y(0)=3. Answer Here is the graph of the particular solution we just found: 12-1-...
A new computational method for solving the first order linear fuzzy Fredholm integro-differential equationsPelvisPerfusionRecently, fuzzy integro-differential equations (FIDEs) have attracted some interest. In this paper, we focus on linear fuzzy Fredholm integro-differential equation and propose a new ...
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thread552-268056: Solving second order differential equation?Just for info, I came across this old unresolved thread above, and have posted the solution in case anyone is interested. Can a moderator move this answer under that thread to keep it together?Thanks,Peter Goodman. ...
A system of differential equations with constant delays has the form: y′(t)=f(t,y(t),y(t−τ1),…,y(t−τk)). Here,tis the independent variable,yis a column vector of dependent variables, andy′ represents the first derivative ofywith respect tot. The delays,τ1,…,τk, are...