Sr Examen
Ecuación diferencial 3y''+2y'+5y=2x'+3x
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Solución
Ha introducido
[src]
2
d d
2*--(y(x)) + 3*---(y(x)) + 5*y(x) = 2 + 3*x
dx 2
dx
$$5 y{\left(x \right)} + 2 \frac{d}{d x} y{\left(x \right)} + 3 \frac{d^{2}}{d x^{2}} y{\left(x \right)} = 3 x + 2$$
5*y + 2*y' + 3*y'' = 3*x + 2
Respuesta
[src]
-x
/ / ____\ / ____\\ ---
4 3*x | |x*\/ 14 | |x*\/ 14 || 3
y(x) = -- + --- + |C1*sin|--------| + C2*cos|--------||*e
25 5 \ \ 3 / \ 3 //
$$y{\left(x \right)} = \frac{3 x}{5} + \left(C_{1} \sin{\left(\frac{\sqrt{14} x}{3} \right)} + C_{2} \cos{\left(\frac{\sqrt{14} x}{3} \right)}\right) e^{- \frac{x}{3}} + \frac{4}{25}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral