cos(x)dx+(1+1/y)sin(x)dy=0

解答

cos (x) d x + (1 + \frac{1}{y}) sin (x) d y = 0

y = W (\frac{c _{1}}{sin ( x )})

求解步骤

cos (x) d x + (1 + \frac{1}{y}) sin (x) d y = 0

求解可分离方程:

y = W (\frac{c _{1}}{sin ( x )})

y = W (\frac{c _{1}}{sin ( x )})

(t^{3} + 7 t^{3} x^{2}) d t + x e^{t^{4}} d x = 0

y^{^{'}} = k \frac{y}{x}

\frac{d y}{d x} = - \frac{9}{6} x^{2} y^{6}

x - y^{^{'}} = x y

\frac{d y}{d x} y sin (x^{2}) = x sin (y^{2})