jueves, 7 de mayo de 2020

Solucion de una ecuación diferencial y de un PVI en wolfra alpha dh/dt=-0.0026653 *sqrt(9.81*h)


Solucion de una ecuación diferencial y de un PVI en wolfra alpha  dh/dt=-0.0026653 *sqrt(9.81*h)

Решение дифференциального уравнения и IVP в вольфра альфа

Solution of a differential equation and a IVP in wolfra alpha


https://www.wolframalpha.com/input/?i=dh%2Fdt%3D-0.0026653+*sqrt%289.81*h%29



Input interpretation:

(dh(t))/(dt) = -0.0026653 sqrt(9.81 h(t))

Separable equation:

(h'(t))/sqrt(h(t)) = -0.00834796

ODE classification:

first-order nonlinear ordinary differential equation

Differential equation solution:

h(t) = -0.0000174221 (239.579 c_1 t - 14349.6 c_1^2 - t^2)


Cuando es un PVI: Ecuación diferencial con condiciones iniciales

https://www.wolframalpha.com/input/?i=dh%2Fdt%3D-0.0026653+*sqrt%289.81*h%29%2C+h%280%29%3D3


Input interpretation:

{(dh(t))/(dt) = -0.0026653 sqrt(9.81 h(t)), h(0) = 3}

Separable equation:

(h'(t))/sqrt(h(t)) = -0.00834796

ODE classification:

first-order nonlinear ordinary differential equation

Differential equation solutions:

h(t) = 0.0000174221 t^2 - 0.0144591 t + 3.
h(t) = 0.0000174221 t^2 + 0.0144591 t + 3.

Plots of the solution:

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