# Solving coupled differential equations of second order using Euler's method [duplicate]

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

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

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

• But the links you are referring to is programming. I want a mathematical solution by hand. Nov 19 '17 at 19:00
• 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. Nov 19 '17 at 19:10
• Thanks. I did not see a very clearly. Nov 19 '17 at 19:20