Differential Equations
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Introduction
Maple solves many types of differential equations. Consider this ODE
de:=ⅆ2ⅆt2⁢y⁡t+ⅆⅆt⁢y⁡t+y⁡t=3:
ic:=D⁡y⁡0=3,y⁡0=4:
Symbolic Solution
Maple will give you a symbolic solution...
sol:=dsolve⁡de,ic
sol≔y⁡t=7⁢ⅇ−t2⁢sin⁡3⁢t2⁢33+ⅇ−t2⁢cos⁡3⁢t2+3
Numeric Solution
...and a numeric solution
sol:=dsolvede,ic,numeric:
sol⁡3
t=3.,y⁡t=3.27537298676751,y.⁡t=−0.906034403201660
You can also solve coupled ODEs, ODEs with black-box functions, DAEs, events. You can also parameterize the solution of ODEs and more.
This app will generate the ODEs of an n-link pendulum, solve the ODEs numerically, and animate the pendulum
Number of Links
Time Step
Number of Frames
Learn how to solve differential equations with this detailed guide
Applications
Beam with Distributed and Point Load
Double Pipe Heat Exchanger
Chemical Kinetics Parameter Estimation
Interacting Tanks
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