Sr Examen
Ecuación diferencial y'=sin^10x*sin2x
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Solución
Ha introducido
[src]
d 10 --(y(x)) = sin (x)*sin(2*x) dx
$$\frac{d}{d x} y{\left(x \right)} = \sin^{10}{\left(x \right)} \sin{\left(2 x \right)}$$
y' = sin(x)^10*sin(2*x)
Respuesta
[src]
12
sin (x)
y(x) = C1 + --------
6
$$y{\left(x \right)} = C_{1} + \frac{\sin^{12}{\left(x \right)}}{6}$$
Gráfico para el problema de Cauchy
Clasificación
factorable
nth algebraic
separable
1st exact
1st linear
Bernoulli
1st power series
lie group
nth linear constant coeff variation of parameters
nth linear euler eq nonhomogeneous variation of parameters
nth algebraic Integral
separable Integral
1st exact Integral
1st linear Integral
Bernoulli Integral
nth linear constant coeff variation of parameters Integral
nth linear euler eq nonhomogeneous variation of parameters Integral
Respuesta numérica
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, 0.9108425233435619)
(-5.555555555555555, 0.7511373227366719)
(-3.333333333333333, 0.7498885280545684)
(-1.1111111111111107, 0.7946252449909833)
(1.1111111111111107, 0.7946253451727993)
(3.333333333333334, 0.7498888287070321)
(5.555555555555557, 0.751137919895076)
(7.777777777777779, 0.9108432168694144)
(10.0, 0.7500010259622005)
(10.0, 0.7500010259622005)