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Beliebt Rechnen >

(dy)/(dx)y=ln(ln(x^5))

Lösung

\frac{d y}{d x} y = ln (ln (x^{5}))

Lösung

y = 2 x ln (5 ln (x)) - 2 Ei (ln (x)) + c_{1}, y = - 2 x ln (5 ln (x)) - 2 Ei (ln (x)) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y = ln (ln (x^{5}))

Solve separable ODE:

y = 2 x ln (5 ln (x)) - 2 Ei (ln (x)) + c_{1}, y = - 2 x ln (5 ln (x)) - 2 Ei (ln (x)) + c_{1}

y = 2 x ln (5 ln (x)) - 2 Ei (ln (x)) + c_{1}, y = - 2 x ln (5 ln (x)) - 2 Ei (ln (x)) + c_{1}

Beliebte Beispiele

y^'=-3x^2(y+2),y(1)=-1

y^{^{'}} = - 3 x^{2} (y + 2), y (1) = - 1

(dy)/(dx)=(1+y)

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

(dy)/(dx)=3xy^2-2y^2

\frac{d y}{d x} = 3 x y^{2} - 2 y^{2}

(dp}{dt}=\frac{p-900)/2

\frac{d p}{d t} = \frac{p - 900}{2}

220=(0.5)(x)+(15.5)(dx)/(dt)+(20)

220 = (0.5) (x) + (15.5) \frac{d x}{d t} + (20)