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Beliebt Rechnen >

a-by^2=(dy)/(dx)

Lösung

a - b y^{2} = \frac{d y}{d x}

Lösung

y = - \frac{a e ^{2 a b x + 2 c_{1} a b}}{b ( 1 - e ^{2 a b (x + c_{1})} )} - \frac{a}{b ( 1 - e ^{2 a b (x + c_{1})} )}

Schritte zur Lösung

a - b y^{2} = \frac{d y}{d x}

Solve separable ODE:

y = - \frac{a e ^{2 a b x + 2 c_{1} a b}}{b ( 1 - e ^{2 a b (x + c_{1})} )} - \frac{a}{b ( 1 - e ^{2 a b (x + c_{1})} )}

y = - \frac{a e ^{2 a b x + 2 c_{1} a b}}{b ( 1 - e ^{2 a b (x + c_{1})} )} - \frac{a}{b ( 1 - e ^{2 a b (x + c_{1})} )}

Graph

Beliebte Beispiele

steigung (3.9)(-5.3)

s l o p e (3.9) (- 5.3)

\frac{d}{d t} (- t^{2})

integral of 1/((1+x^2)^{5/2)}

\int \frac{1}{( 1 + x ^{2} ) ^{\frac{5}{2}}} d x

integral of 1/(7x^2-14x+49)

\int \frac{1}{7 x ^{2} - 14 x + 49} d x

derivative f(x)=5^{-x}

d er i v a t i v e f (x) = 5^{- x}