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Calculus and Beyond Homework Help
How to Solve Nonlinear System of DEs in Physics Homework?
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[QUOTE="Hertz, post: 4543160, member: 179030"] [h2]Homework Statement [/h2] Solve the System of DEs: [itex]\sqrt{1+y'^{2}+z'^{2}}-\frac{y'^{2}}{\sqrt{1+y'^{2}+z'^{2}}}=C_{1}[/itex] [itex]\sqrt{1+y'^{2}+z'^{2}}-\frac{z'^{2}}{\sqrt{1+y'^{2}+z'^{2}}}=C_{2}[/itex] [h2]Homework Equations[/h2] The two equations above are quite relevant. [h2]The Attempt at a Solution[/h2] I attempted basic substitution to do is this: Multiply through by the radical Cancel terms Solve for y' and z' in terms of each other Plug them into each other and then attempt to solve I ended up trying to solve for y' first. What I got is a solvable polynomial in terms of y'; a quite tedious looking polynomial at that. I stopped here and began erasing. Maybe I was doing it right, but I don't even want to see what happens when I plug it into the quadratic equation and then attempt to substitute it back into the z' equation.. It sounds like WAYYY to long of a process considering this is physics homework, not math homework. Can anybody give me some advice? Any good way to approach problems like these? I'm starting to encounter them a lot and it's always the part of the problem that I spend hours looking at :\ [/QUOTE]
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How to Solve Nonlinear System of DEs in Physics Homework?
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