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Beliebt Rechnen >

f(x)(g(x))f^'(x)=1+(f(x))^2

Lösung

f (x) (g (x)) f^{^{'}} (x) = 1 + (f (x))^{2}

Lösung

f (x) = e^{\frac{2 l n ( x )}{g} + c_{1}} - 1, f (x) = - e^{\frac{2 l n ( x )}{g} + c_{1}} - 1

Schritte zur Lösung

f (x) (g (x)) f^{'} (x) = 1 + (f (x))^{2}

Solve separable ODE:

f (x) = e^{\frac{2 l n ( x )}{g} + c_{1}} - 1, f (x) = - e^{\frac{2 l n ( x )}{g} + c_{1}} - 1

f (x) = e^{\frac{2 l n ( x )}{g} + c_{1}} - 1, f (x) = - e^{\frac{2 l n ( x )}{g} + c_{1}} - 1

Graph

Beliebte Beispiele

y^{-1}dy-ye^{cos(x)}sin(x)dx=0

y^{- 1} d y - y e^{c o s (x)} sin (x) d x = 0

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x y^{^{'}} + y = 0

y^{^{'}} = x \cdot e^{y}

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