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Beliebt Rechnen >

f^'(x)=(2x)/((2x-1))f(x)

Lösung

f^{^{'}} (x) = \frac{2 x}{( 2 x - 1 )} f (x)

Lösung

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

Schritte zur Lösung

f^{'} (x) = \frac{2 x}{( 2 x - 1 )} f (x)

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=yx^2-1.2y

\frac{d y}{d x} = y x^{2} - 1.2 y

y=y^'*(t^2-14t+40)

y = y^{^{'}} \cdot (t^{2} - 14 t + 40)

(dy}{dx}=\frac{x^2)/y ,y=2

\frac{d y}{d x} = \frac{x ^{2}}{y}, y = 2

(y^')/x =e^{y+x^2}

\frac{y ^{^{'}}}{x} = e^{y + x^{2}}

(dy)/(dx)+(xy)/(x^2-9)=0

\frac{d y}{d x} + \frac{x y}{x ^{2} - 9} = 0