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Beliebt Rechnen >

ay^'=-by^2-c,y(0)=5

Lösung

a y^{^{'}} = - b y^{2} - c, y (0) = 5

Lösung

y = \frac{c tan ( - \frac{c b t - a a r c t a n ( 5 \frac{b}{c} )}{a} )}{b}

Schritte zur Lösung

a y^{'} (t) = - b y^{2} - c

Solve separable ODE:

y = \frac{c tan ( - \frac{c b t - a a r c t a n ( 5 \frac{b}{c} )}{a} )}{b}

y = \frac{c tan ( - \frac{c b t - a a r c t a n ( 5 \frac{b}{c} )}{a} )}{b}

Beliebte Beispiele

(dy)/(dt)-y=1,y=0

\frac{d y}{d t} - y = 1, y = 0

d y - (1 + y) d x = 0

\frac{d v}{d t} = g - 5 v

3x-2ysqrt(2x+1)(dy)/(dx)=0,y(0)=-4

3 x - 2 y 2 x + 1 \frac{d y}{d x} = 0, y (0) = - 4

derivative of y^4+5x= derivative of 11

\frac{d}{d x} (y^{4} + 5 x) = \frac{d}{d x} (11)