Solving Equations and Sets of Equations in Mathcad

In the mathematical pack of Mathcad equations and sets of equations in character representation are solved with the help of the specific operator of symbolic computation solve in conjunction with the sign of character equality, which can also be input from the operating panel “Symbols”. For example:

Solving Equations and Sets of Equations in Mathcad

Solving Equations and Sets of Equations in Mathcad

The same operations in order to solve equations in Mathcad can be performed with help of the menu “Symbols”. Firstly, you need to enter the expression under computation. Secondly, it is required to eliminate the variable which forms the center of the equation, then enter the menu "Symbols, Variable, Compute" For example:

Solving Equations and Sets of Equations in Mathcad

In case, you need to simplify the acquired result, the sign of equality [=] is used. For example:

Solving Equations and Sets of Equations in Mathcad

When some equations are being solved, the result contains a big number of characters. Mathcad saves it in the buffer, while the display shows the following: “This array has more elements than can be displayed at one time. Try using the “submatrix” function”. In this case it is recommended to apply the computational solution. Or, if required, the character solution can be output and shown on the display.

Character solution can be obtained with the help of the unit given … find. In this case, while the equation is being entered the sing of the logical equality “=” from the tool bar Booleanis in use in order to unite the right and the left parts of the equation. For example:

Solving Equations and Sets of Equations in Mathcad

Sets of equations in character representation are solved the same way. Below you can observe the examples of sets of equations in character representation being solved with various methods. When the operator of character solution solve is in use in conjunction with the sign of character equality a set of equations can be input in vector form, which is entered instead of the left marker of the operator solve, while the list of variables of the set of equations is entered instead of the right marker. For example:

Solving Equations and Sets of Equations in Mathcad

The example of the given…find for sets of equations in use is shown below:

Solving Equations and Sets of Equations in Mathcad