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Beliebt Rechnen >

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

Lösung

x (1 + y^{2}) d x = y (1 + x^{2}) d y

Lösung

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 1, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 1

Schritte zur Lösung

x (1 + y^{2}) d x = y (1 + x^{2}) d y

Solve separable ODE:

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 1, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 1

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 1, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 1

Graph

Beliebte Beispiele

steigung (-2,-7),(3,5)

s l o p e (- 2, - 7), (3, 5)

y^{^{'}} = \frac{y}{x ^{2} + 1}

y^{''}-3y^'=x^3-6

y^{^{''}} - 3 y^{^{'}} = x^{3} - 6

derivative of (3x/(x-2))

\frac{d}{d x} (\frac{3 x}{x - 2})

integral from 2 to 4 of (x^2+2)^3x

\int_{2}^{4} (x^{2} + 2)^{3} x d x