Sr Examen
Ecuación diferencial 9y''-10y'+25y=30x+3
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Solución
Ha introducido
[src]
2
d d
- 10*--(y(x)) + 9*---(y(x)) + 25*y(x) = 3 + 30*x
dx 2
dx
$$25 y{\left(x \right)} - 10 \frac{d}{d x} y{\left(x \right)} + 9 \frac{d^{2}}{d x^{2}} y{\left(x \right)} = 30 x + 3$$
25*y - 10*y' + 9*y'' = 30*x + 3
Respuesta
[src]
5*x
/ / ___\ / ___\\ ---
3 6*x | |10*x*\/ 2 | |10*x*\/ 2 || 9
y(x) = - + --- + |C1*sin|----------| + C2*cos|----------||*e
5 5 \ \ 9 / \ 9 //
$$y{\left(x \right)} = \frac{6 x}{5} + \left(C_{1} \sin{\left(\frac{10 \sqrt{2} x}{9} \right)} + C_{2} \cos{\left(\frac{10 \sqrt{2} x}{9} \right)}\right) e^{\frac{5 x}{9}} + \frac{3}{5}$$
Clasificación
nth linear constant coeff undetermined coefficients
nth linear constant coeff variation of parameters
nth linear constant coeff variation of parameters Integral