Sr Examen
Ecuación diferencial sin(f)*cos(f)*f'^2/10+sin(f)-cos(f)^2*f''/10+f''=0
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Solución
Ha introducido
[src]
2
2 d 2
cos (f(t))*---(f(t)) /d \
2 |--(f(t))| *cos(f(t))*sin(f(t)) 2
dt \dt / d
- -------------------- + ------------------------------- + ---(f(t)) + sin(f(t)) = 0
10 10 2
dt
$$\frac{\sin{\left(f{\left(t \right)} \right)} \cos{\left(f{\left(t \right)} \right)} \left(\frac{d}{d t} f{\left(t \right)}\right)^{2}}{10} + \sin{\left(f{\left(t \right)} \right)} - \frac{\cos^{2}{\left(f{\left(t \right)} \right)} \frac{d^{2}}{d t^{2}} f{\left(t \right)}}{10} + \frac{d^{2}}{d t^{2}} f{\left(t \right)} = 0$$
sin(f)*cos(f)*f'^2/10 + sin(f) - cos(f)^2*f''/10 + f'' = 0
Clasificación
factorable