y(dy)/(dx)=2x(y+1)

解答

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

y = - W (- \frac{1}{e ^{- c_{1} + x^{2}}}) - 1

求解步骤

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

求解贝努力方程:

y = - W (- \frac{1}{e ^{- c_{1} + x^{2}}}) - 1

y = - W (- \frac{1}{e ^{- c_{1} + x^{2}}}) - 1

\frac{( t ^{2} )}{x} d t = d x

\frac{d y}{d x} y = \frac{4 sin ( x )}{9 - 8 sin ( x )}

\frac{d y}{d x} y = - 3 x^{7} + \frac{3}{5} x^{4} + 568 x + 12

y y^{^{'}} = x e^{x^{2} + y}

y^{^{'}} = (1 - y^{2})^{0.5}