solution to non homogenous time dependent differetial equation using ODE45

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PRAJWAL PRABHU 2020-5-3

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评论： PRAJWAL PRABHU 2020-5-4

I looking to solve the control of planar 2r manipulator for which i need to solve the differential equation using ODE 45.

11.426*y"(t)+(11.426+12.456*cos(y(t)))x"(t)+(12.456*sin(y(t)))*(x'(t))^2+12.456*cos(x(t)+y(t))

i am unsure as to how to write it in matlab, as it is a second order equation and matlab accepts only first order differential equation. Need some help in this regard.

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Answer 1

Bjorn Gustavsson 2020-5-3

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You can convert a second order ODE to two coupled first order ODEs:

can be split up into 2 by introducing a second variable, v, that is the first derivative of y:

You can extend this to your 2-variable 2nd-order ODE, just take it step-by-step. One problem more: I don't see the ODE, you've just written an expression with a couple of derivatives, you need to have a look on that.

HTH