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I've read a lot the expresion coupled equations but i can´t get a precise definition of the term Solve systems of differential equations, including equations in matrix form, and plot solutions. How could i go about solving this

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I've only really worked with basic first order differential equations before, and i've found little to help me figure this out. Are my laplace transform expressions above correct? Two coupled second order differential equations ask question asked 11 years, 11 months ago modified 7 years ago

4 i am trying to solve a system of coupled differential equations to plot streamlines using matlab

I'd greatly appreciate any insight or suggestion. Just do the steps, alternating between the two functions? So to find expressions for the laplace transform of each of these, we must solve the three equations in my post above for three unknowns