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Beliebt Rechnen >

(dy)/(dx)+2x^{-1}y=6x^4y^2

Lösung

\frac{d y}{d x} + 2 x^{- 1} y = 6 x^{4} y^{2}

Lösung

y = \frac{1}{x ^{2} ( - 2 x ^{3} + c _{1} )}

Schritte zur Lösung

\frac{d y}{d x} + 2 x^{- 1} y = 6 x^{4} y^{2}

Solve Bernoulli ODE:

y = \frac{1}{x ^{2} ( - 2 x ^{3} + c _{1} )}

y = \frac{1}{x ^{2} ( - 2 x ^{3} + c _{1} )}

Graph

Beliebte Beispiele

(1/8)y^{''}+4y^'+20y=0

(\frac{1}{8}) y^{^{''}} + 4 y^{^{'}} + 20 y = 0

integral of 30(x+9)(x+9)^4

\int 30 (x + 9) (x + 9)^{4} d x

derivative of (x^3/2-3/(x^2))

\frac{d}{d x} (\frac{x ^{3}}{2} - \frac{3}{x ^{2}})

y^{''}-7y^'+10y=-2cos(2t)

y^{^{''}} - 7 y^{^{'}} + 10 y = - 2 cos (2 t)

derivative f(x)=4x-1

d er i v a t i v e f (x) = 4 x - 1