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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{'}} + 6 y = 3

derivative of cos(x-cos(2x))

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

integral of 3x^2-x^3

\int 3 x^{2} - x^{3} d x

(d^2)/(dx^2)((x^3)/(x^2-1))

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{3}}{x ^{2} - 1})

derivative 2+3/(1+(x+1)^2)

d er i v a t i v e 2 + \frac{3}{1 + ( x + 1 ) ^{2}}