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Beliebt Rechnen >

(1+x^2)y^'=x(1-y)

Lösung

(1 + x^{2}) y^{^{'}} = x (1 - y)

Lösung

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

Schritte zur Lösung

(1 + x^{2}) y^{'} (x) = x (1 - y)

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

fläche 1+4x-x^2,11-x-x^2,1-(2x)/3

a re a 1 + 4 x - x^{2}, 11 - x - x^{2}, 1 - \frac{2 x}{3}

fläche sqrt(x+1),2x-4,0,3

a re a x + 1, 2 x - 4, 0, 3

integral of (3x^5-2)/(4x-4x^5)

\int \frac{3 x ^{5} - 2}{4 x - 4 x ^{5}} d x

t a y l or \frac{3}{x}, - 1

derivative of 9sin(5x)

\frac{d}{d x} (9 sin (5 x))