Sr Examen
Ecuación diferencial y'+5y=(3t^2-4sin(t))^(e^(-5t))
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
/ -5*t\
\e /
d / 2\
5*y(t) + --(y(t)) = \-4*sin(t) + 3*t /
dt
$$5 y{\left(t \right)} + \frac{d}{d t} y{\left(t \right)} = \left(3 t^{2} - 4 \sin{\left(t \right)}\right)^{e^{- 5 t}}$$
5*y + y' = (3*t^2 - 4*sin(t))^exp(-5*t)
Gráfico para el problema de Cauchy
Clasificación
1st linear
Bernoulli
almost linear
1st power series
lie group
nth linear constant coeff variation of parameters
1st linear Integral
Bernoulli Integral
almost linear Integral
nth linear constant coeff variation of parameters Integral
Respuesta numérica
[src]
(t, y):
(-10.0, 0.75)
(-7.777777777777778, nan)
(-5.555555555555555, nan)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 8.427456047434801e+197)
(3.333333333333334, 3.1933833808213433e-248)
(5.555555555555557, 2.125757255287192e+160)
(7.777777777777779, 8.38824357180921e+296)
(10.0, 3.861029683e-315)
(10.0, 3.861029683e-315)