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Beliebt Rechnen >

(dy)/(dx)=2y+y^5,y(0)=1

Lösung

\frac{d y}{d x} = 2 y + y^{5}, y (0) = 1

Lösung

y = 4 \frac{2 e ^{8 x}}{3 - e ^{8 x}}

Schritte zur Lösung

\frac{d y}{d x} = 2 y + y^{5}

Solve Bernoulli ODE:

y = 4 \frac{2 e ^{8 x}}{3 - e ^{8 x}}

y = 4 \frac{2 e ^{8 x}}{3 - e ^{8 x}}

Graph

Beliebte Beispiele

derivative of ln(2x^2-3x+1)

\frac{d}{d x} (ln (2 x^{2} - 3 x + 1))

tangent f(x)=xsqrt(x),\at x=9

t an g e n t f (x) = x x, at x = 9

limit as x approaches infinity of (7.5x+120000)/x

x \to \infty lim (\frac{7.5 x + 120000}{x})

integral of θsin(θ)cos(θ)

\int θ sin (θ) cos (θ) d θ

(\partial)/(\partial x)((7x+8y)^3)

\frac{\partial}{\partial x} ((7 x + 8 y)^{3})