Sr Examen
Ecuación diferencial cos(xy'')^2=1
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Solución
Ha introducido
[src]
/ 2 \
2| d |
cos |x*---(y(x))| = 1
| 2 |
\ dx /
$$\cos^{2}{\left(x \frac{d^{2}}{d x^{2}} y{\left(x \right)} \right)} = 1$$
cos(x*y'')^2 = 1
Respuesta
[src]
y(x) = C1 + C2*x
$$y{\left(x \right)} = C_{1} + C_{2} x$$
y(x) = C1 + C2*x + 2*pi*x*(-1 + log(x))
$$y{\left(x \right)} = C_{1} + C_{2} x + 2 \pi x \left(\log{\left(x \right)} - 1\right)$$
y(x) = C1 + C2*x + pi*x*(-1 + log(x))
$$y{\left(x \right)} = C_{1} + C_{2} x + \pi x \left(\log{\left(x \right)} - 1\right)$$
Clasificación
factorable
nth algebraic
nth algebraic Integral