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Beliebt Rechnen >

(dy)/(dx)-4/x y=y^5 1/(x^8)

Lösung

\frac{d y}{d x} - \frac{4}{x} y = y^{5} \frac{1}{x ^{8}}

Lösung

y = \frac{3 x ^{4}}{4 - 4 x ^{9} + c _{1}}, y = - \frac{3 x ^{4}}{4 - 4 x ^{9} + c _{1}}

Schritte zur Lösung

\frac{d y}{d x} - \frac{4}{x} y = y^{5} \frac{1}{x ^{8}}

Solve Bernoulli ODE:

y = \frac{3 x ^{4}}{4 - 4 x ^{9} + c _{1}}, y = - \frac{3 x ^{4}}{4 - 4 x ^{9} + c _{1}}

y = \frac{3 x ^{4}}{4 - 4 x ^{9} + c _{1}}, y = - \frac{3 x ^{4}}{4 - 4 x ^{9} + c _{1}}

Graph

Beliebte Beispiele

integral of x/((1+4x^2)^2)

\int \frac{x}{( 1 + 4 x ^{2} ) ^{2}} d x

t an g e n t \frac{7}{x}

derivative of cosh(cos(x))

\frac{d}{d x} (cosh (cos (x)))

limit as x approaches 0 of (sin(2x))/(arcsin(x))

x \to 0 lim (\frac{sin ( 2 x )}{arcsin ( x )})

derivative (3t^5-1)/(x^2+2)

d er i v a t i v e \frac{3 t ^{5} - 1}{x ^{2} + 2}