7.1 The solution of first-order differential equations
To find the solution of the differential equation it is necessary:
1. Specify the space variables ($SPACE$).
2. Set equation and get a solution (solveDE).
Equation with separating variables:
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Linear homogeneous equation:
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Equation in total differentials:
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7.2 Solution of differential equations
Procedure of solving a differential equation consists of four steps.
1. To set the ring ($SPACE$).
2. To set an equation(systLDE).
3. To set initial conditions (initCond).
4. Solving the equation(solveLDE).
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7.3 Solution of systems of differential equations
Procedure of solving a system of differential equations (SDE) consists of four parts.
1. To set the ring ($SPACE$).
2. To set a system of equations (systLDE).
3. To set initial conditions (initCond).
4. To get solution of SDE (solveLDE).
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In the following example, the option STEPBYSTEP = 1, gives the output of all intermediate calculations that are needed to solve this system of differential
equations. Note that it does not use the command $ print()$.
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Solve this system of differential equations on the accuracy e.
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The graphics solve this system of differential equations on the accuracy e.
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The graphics solve this system of differential equations.
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7.4 LaplaceTransform and InverseLaplaceTransform
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7.5 Calculation of the characteristics of dynamic objects and systems
To find the transfer function of the object, you must perform the following steps:
1. Specify the space variables ($SPACE$).
2. Ask equation input - x.
3. Ask output equation - y.
4. Obtain a solution (solveWFDS).
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To find the temporal characteristics of the object, perform the following steps:
1. Specify the space variables ($SPACE$).
2. Ask equation input - x.
3. Ask output equation - y.
4. Obtain a solution (solveTPDS).
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To find the frequency characteristics of the object, you must perform the following steps: