Sr Examen
Ecuación diferencial sin(y)*cos(x)dy=cos(y)*sin(x)dx
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d --(y(x))*cos(x)*sin(y(x)) = cos(y(x))*sin(x) dx
$$\sin{\left(y{\left(x \right)} \right)} \cos{\left(x \right)} \frac{d}{d x} y{\left(x \right)} = \sin{\left(x \right)} \cos{\left(y{\left(x \right)} \right)}$$
sin(y)*cos(x)*y' = sin(x)*cos(y)
Respuesta
[src]
y(x) = -acos(C1*cos(x)) + 2*pi
$$y{\left(x \right)} = - \operatorname{acos}{\left(C_{1} \cos{\left(x \right)} \right)} + 2 \pi$$
y(x) = acos(C1*cos(x))
$$y{\left(x \right)} = \operatorname{acos}{\left(C_{1} \cos{\left(x \right)} \right)}$$
Clasificación
factorable
separable
1st exact
almost linear
1st power series
lie group
separable Integral
1st exact Integral
almost linear Integral