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Differential Equations

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Introduction

 

Maple solves many types of differential equations. Consider this ODE

de:=ⅆ2ⅆt2yt+ⅆⅆtyt+yt=3:

ic:=Dy0=3,y0=4:

 

Symbolic Solution

 

Maple will give you a symbolic solution...

 

sol:=dsolvede,ic

solyt=7ⅇt2sin3t233+ⅇt2cos3t2+3

Numeric Solution

 

...and a numeric solution

 

sol:=dsolvede,ic,numeric:

sol3

t=3.,yt=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

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