Sr Examen
Ecuación diferencial tgx*y''-y'+1/sinx=0*e^x
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
2
1 d d
------ - --(y(x)) + ---(y(x))*tan(x) = 0
sin(x) dx 2
dx
$$\tan{\left(x \right)} \frac{d^{2}}{d x^{2}} y{\left(x \right)} - \frac{d}{d x} y{\left(x \right)} + \frac{1}{\sin{\left(x \right)}} = 0$$
tan(x)*y'' - y' + 1/sin(x) = 0
Respuesta
[src]
log(1 + cos(x)) log(-1 + cos(x))
y(x) = C1 - --------------- + ---------------- + C2*cos(x)
4 4
$$y{\left(x \right)} = C_{1} + C_{2} \cos{\left(x \right)} + \frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{4} - \frac{\log{\left(\cos{\left(x \right)} + 1 \right)}}{4}$$
Clasificación
nth order reducible