(dx)/(dy)=4(x^21),x(pi/4)=1

解答

\frac{d x}{d y} = 4 (x^{2} 1), x (\frac{π}{4}) = 1

x = - \frac{1}{4 y - 1 - π}

求解步骤

\frac{d x}{d y} = 4 (x^{2} 1)

求解可分离方程:

x = - \frac{1}{4 y - 1 - π}

x = - \frac{1}{4 y - 1 - π}

s im pl i f y (x + 1)^{2} (x^{2} + 1)^{- 3}

\frac{d y}{d x} - \frac{y}{x} = - \frac{5}{2} x^{2} y^{3}

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

\int k e^{- 2 x} d x

t an g e n t (x + 2)^{2} + (y - 3)^{2} = 37, (- 3, - 3)