Sr Examen
Ecuación diferencial tg(x)*sin^2(y)dx+cos^2(y)dx+cos^2(x)*ctg(y)dy
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
2 2 2 d
cos (y(x)) + sin (y(x))*tan(x) + cos (x)*--(y(x))*cot(y(x)) = 0
dx
$$\sin^{2}{\left(y{\left(x \right)} \right)} \tan{\left(x \right)} + \cos^{2}{\left(x \right)} \cot{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} + \cos^{2}{\left(y{\left(x \right)} \right)} = 0$$
sin(y)^2*tan(x) + cos(x)^2*cot(y)*y' + cos(y)^2 = 0
Gráfico para el problema de Cauchy
Clasificación
factorable
1st power series
lie group
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 2.0954451321051338e-10)
(-5.555555555555555, -1.9346416518841736e-11)
(-3.333333333333333, 2.8655928478216786e-11)
(-1.1111111111111107, 5.467942085996512e-11)
(1.1111111111111107, 4.9987055485755856e-11)
(3.333333333333334, 4.5294690111546584e-11)
(5.555555555555557, 4.060232473733732e-11)
(7.777777777777779, 3.590995936312806e-11)
(10.0, 3.1217593988918795e-11)
(10.0, 3.1217593988918795e-11)