Question: Solve a non linear differential equation

May 25 2014 AbAbsurdo 5
1

Hello all,

I'm an engineering student working on bicycle shifting. After an dynamic study i encounter the equation:

E:=5.37*theta12(t)=C*(diff(theta12(t),[t$2])+diff(theta10(t),[t$2]))+247.2*[diff(theta10(t),[t$2])*(-6.53*cos(theta12(t))+8.51*sin(theta12(t)))+diff(theta10(t),t)*diff(theta12(t),t)*(6.53*sin(theta12(t))+8.51*cos(theta12(t)))]-247.2*diff(theta10(t),t)*(-diff(theta12(t),t)+diff(theta10(t),t))*(-6,53*sin(theta12(t))-8,51*cos(theta12(t)));


where C is a real constant

More exactly, i would need to find a formule for theta12 using the succesive derivatives of theta10.

I heard that i need to search a numerical solution but,up to now, don't succeed to solve it.

I'm open to all idea.

Thanks

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