Sr Examen
Ecuación diferencial cosydx=2sqrt(1+x^2)dycosysqrt(1x^2)dy
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Solución
Ha introducido
[src]
________
/ 2 d
cos(y(x)) = 2*dy*x*\/ 1 + x *--(y(x))*cos(y(x))
dx
$$\cos{\left(y{\left(x \right)} \right)} = 2 dy x \sqrt{x^{2} + 1} \cos{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)}$$
cos(y) = 2*dy*x*sqrt(x^2 + 1)*cos(y)*y'
Respuesta
[src]
pi
y(x) = --
2
$$y{\left(x \right)} = \frac{\pi}{2}$$
3*pi
y(x) = ----
2
$$y{\left(x \right)} = \frac{3 \pi}{2}$$
/1\
asinh|-|
\x/
y(x) = C1 - --------
2*dy
$$y{\left(x \right)} = C_{1} - \frac{\operatorname{asinh}{\left(\frac{1}{x} \right)}}{2 dy}$$
Clasificación
factorable
nth algebraic
separable
1st linear
Bernoulli
lie group
nth algebraic Integral
separable Integral
1st linear Integral
Bernoulli Integral