(x-y^2x)dx=-(y-x^2y)dy

Lösung

(x - y^{2} x) d x = - (y - x^{2} y) d y

y = \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}, y = - \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}

Schritte zur Lösung

(x - y^{2} x) d x = - (y - x^{2} y) d y

Solve separable ODE:

y = \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}, y = - \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}

y = \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}, y = - \frac{c _{1} + x ^{2} - 1}{x ^{2} - 1}

\frac{d y}{d x} + 4 y = 8, y (0) = 0

\frac{d y}{d x} = 5 x y, y = 0

d y \cdot x = 3 y \cdot d x

\frac{d x}{d t} = 10 - 0.6 x

x^{^{'}} = - 16 - 611 x