Euler and Runge-Kutta numerical methods of ODE solution
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PHYSIC PROBLEM:
A particle of mass 𝑚 moves in a straight line, the initial velocity is 𝑣0. The particle is acted upon by an accelerating force 𝐹 = 𝑐𝑜𝑛𝑠𝑡, as well as a force resistance proportional to the square of the speed (coefficient 𝑘). Find the particle velocity as a function of time v(t).
Differential equation:
Analytical solution:
