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Beliebt Rechnen >

y^'=(-(3y^2+1)x)/(x^2+1)

Lösung

y^{^{'}} = \frac{- ( 3 y ^{2} + 1 ) x}{x ^{2} + 1}

Lösung

y = \frac{tan ( \frac{3 ( - l n ( x ^{2} + 1 ) + c _{1} )}{2} )}{3}

Schritte zur Lösung

y^{'} (x) = \frac{- ( 3 y ^{2} + 1 ) x}{x ^{2} + 1}

Solve separable ODE:

y = \frac{tan ( \frac{3 ( - l n ( x ^{2} + 1 ) + c _{1} )}{2} )}{3}

y = \frac{tan ( \frac{3 ( - l n ( x ^{2} + 1 ) + c _{1} )}{2} )}{3}

Graph

Beliebte Beispiele

derivative of 7x^2+8ln(xy)=14

\frac{d}{d x} (7 x^{2} + 8 ln (x y)) = 14

y^'=(4x)/(1+2y),y(2)=0

y^{^{'}} = \frac{4 x}{1 + 2 y}, y (2) = 0

y^'=-9/4 x^6y^4

y^{^{'}} = - \frac{9}{4} x^{6} y^{4}

y^'+4y=5,y(0)=1

y^{^{'}} + 4 y = 5, y (0) = 1

(5+2x)dy-7ydx=0

(5 + 2 x) d y - 7 y d x = 0