Wolfram alpha differential equation solver

Wolfram Alpha is capable of solving a wide variety of systems of equations. It can solve systems of linear equations or systems involving nonlinear equations, and it can search specifically for integer solutions or solutions over another domain. Additionally, it can solve systems involving inequalities and more general constraints. Enter your queries using plain English, wolfram alpha differential equation solver.

The Wolfram Language function DSolve finds symbolic solutions to differential equations. The Wolfram Language function NDSolve , on the other hand, is a general numerical differential equation solver. DSolve can handle the following types of equations:. Finding symbolic solutions to ordinary differential equations. DSolve returns results as lists of rules. This makes it possible to return multiple solutions to an equation.

Wolfram alpha differential equation solver

The Wolfram Language's differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms without needing preprocessing by the user. Use DSolve to solve the differential equation for with independent variable :. The solution given by DSolve is a list of lists of rules. The outermost list encompasses all the solutions available, and each smaller list is a particular solution. If you want to use a solution as a function, first assign the rule to something, in this case, solution :. Now, use Part to take the first part of the solution using the short form solution [ [ 1 ] ]. Now, f [ x ] evaluates like any normal function:. To specify initial conditions, enclose the equation and the initial conditions and in a list:. If not enough initial conditions are given, constants C [ n ] are returned:. To indicate which functions should be solved for, use a second list:. First, solve the differential equation using DSolve and set the result to solution :. Define a table of functions t [ x ] for integer values of C [ 1 ] between 1 and Use Plot to plot the table over the range :. DSolve NDSolve. Enable JavaScript to interact with content and submit forms on Wolfram websites.

Posted by Oriol February 1, at pm. Posted by Mazi November 29, at pm. DSolve returns results as lists of rules.

Wolfram Alpha has become well-known for its ability to perform step-by-step math in a variety of areas. Differential equations are fundamental to many fields, with applications such as describing spring-mass systems and circuits and modeling control systems. From basic separable equations to solving with Laplace transforms, Wolfram Alpha is a great way to guide yourself through a tough differential equation problem. Wolfram Alpha can show the steps to solve simple differential equations as well as slightly more complicated ones like this one:. Wolfram Alpha can help out in many different cases when it comes to differential equations. Get step-by-step directions on solving exact equations or get help on solving higher-order equations.

Plot the solution curves for two different values of the arbitrary constant C [ 1 ] :. Verify the solution of a first-order differential equation by using y in the second argument:. Apply N [ DSolve [ Second-order equation with variable coefficients, solved in terms of elementary functions:. Linear equation with q -rational coefficients:. Solution in terms of WeierstrassP :. Plot the solution for different values of the parameter a :. Solve an eigenvalue problem with a Robin condition at the left end of the interval:. Obtain the eigenfunctions within this range by using Assumptions :. The solution with a particular choice of the arbitrary function C [ 1 ] :.

Wolfram alpha differential equation solver

It can handle a wide range of ordinary differential equations ODEs as well as some partial differential equations PDEs. In a system of ordinary differential equations there can be any number of unknown functions u i , but all of these functions must depend on a single "independent variable" t , which is the same for each function. Partial differential equations involve two or more independent variables. NDSolve can also solve some differential-algebraic equations DAEs , which are typically a mix of differential and algebraic equations. Finding numerical solutions to ordinary differential equations. NDSolve represents solutions for the functions u i as InterpolatingFunction objects. The InterpolatingFunction objects provide approximations to the u i over the range of values t min to t max for the independent variable t. In general, NDSolve finds solutions iteratively. It starts at a particular value of t , then takes a sequence of steps, trying eventually to cover the whole range t min to t max. In order to get started, NDSolve has to be given appropriate initial or boundary conditions for the u i and their derivatives.

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Enable JavaScript to interact with content and submit forms on Wolfram websites. For this reason, these tutorials have the following basic goals. Wolfram Alpha doesn't run without JavaScript. DSolve can handle the following types of equations:. To indicate which functions should be solved for, use a second list:. DSolve labels these arbitrary functions as C [ i ]. You can use the rules to substitute the solutions into other calculations. A rule for the function that satisfies the equation is returned:. Posted by ali September 9, at pm. Wolfram Alpha can help out in many different cases when it comes to differential equations.

Wolfram Alpha has become well-known for its ability to perform step-by-step math in a variety of areas. Differential equations are fundamental to many fields, with applications such as describing spring-mass systems and circuits and modeling control systems. From basic separable equations to solving with Laplace transforms, Wolfram Alpha is a great way to guide yourself through a tough differential equation problem.

I need a friend that have good indept of the software and to guilde me about the application. Give Feedback Top. Posted by Mazi November 29, at pm. This substitutes a random value for the independent variable and shows that the solutions are correct at that point:. Now, use Part to take the first part of the solution using the short form solution [ [ 1 ] ]. Thanks for this. If all lines converge to a common point, the system is said to be consistent and has a solution at this point of intersection. In the case of two variables, these systems can be thought of as lines drawn in two-dimensional space. Enter your queries using plain English. For a system of equations, possibly multiple solution sets are grouped together. To indicate which functions should be solved for, use a second list:. Any solution? More general systems involving nonlinear functions are possible as well. Posted by Owais May 13, at am.