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I want to solve the following differential equations numerically using Euler's Method.

$\qquad \frac{d^2s_x}{dt^2}= \frac{dv_x}{dt} = -kv_x\sqrt{v_x^2+v_y^2}$

$\qquad \frac{d^2s_y}{dt^2}= \frac{dv_y}{dt} = g-kv_y\sqrt{v_x^2+v_y^2}$

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  • $\begingroup$ But the links you are referring to is programming. I want a mathematical solution by hand. $\endgroup$ – Rose123 Nov 19 '17 at 19:00
  • $\begingroup$ But the links you are referring to is programming Then you are on the wrong site. Please check the Mathematics web site, this is the Mathematica web site (with an a at the end). This site is about programming using Mathematica. $\endgroup$ – Nasser Nov 19 '17 at 19:10
  • $\begingroup$ Thanks. I did not see a very clearly. $\endgroup$ – Rose123 Nov 19 '17 at 19:20