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Beliebt Rechnen >

(dy)/(dx)=(xy^3)/((1+x^2)^{-1/2)},y=1

Lösung

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

Lösung

y = - \frac{3}{2 ( x ^{2} + 1 ) ^{\frac{3}{2}} - 5}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{3}{2 ( x ^{2} + 1 ) ^{\frac{3}{2}} - 5}

y = - \frac{3}{2 ( x ^{2} + 1 ) ^{\frac{3}{2}} - 5}

Graph

Beliebte Beispiele

(dy)/(dx)=sqrt(yx),y(1)=3

\frac{d y}{d x} = y x, y (1) = 3

2xy^3dx-(1+x^2)dy=0

2 x y^{3} d x - (1 + x^{2}) d y = 0

(dy)/(dx)=0.04-y/7

\frac{d y}{d x} = 0.04 - \frac{y}{7}

(dy)/(dx)+6x^2y=7x^2,y(0)=2

\frac{d y}{d x} + 6 x^{2} y = 7 x^{2}, y (0) = 2

(dy)/(dx)=(e^{8y+sqrt(x)})/(sqrt(x)),x>0

\frac{d y}{d x} = \frac{e ^{8 y + x}}{x}, x > 0