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Beliebt Rechnen >

y^'=y(xy^5+4)

Lösung

y^{^{'}} = y (x y^{5} + 4)

Lösung

y = 5 \frac{80 e ^{20 x}}{- 20 x e ^{20 x} + e ^{20 x} + c _{1}}

Schritte zur Lösung

y^{'} (x) = y (x y^{5} + 4)

Solve Bernoulli ODE:

y = 5 \frac{80 e ^{20 x}}{- 20 x e ^{20 x} + e ^{20 x} + c _{1}}

y = 5 \frac{80 e ^{20 x}}{- 20 x e ^{20 x} + e ^{20 x} + c _{1}}

Graph

Beliebte Beispiele

derivative (x^3+7)^{2/3}

d er i v a t i v e (x^{3} + 7)^{\frac{2}{3}}

tangent f(x)=-3x^2-3x+2,\at x=1

t an g e n t f (x) = - 3 x^{2} - 3 x + 2, at x = 1

derivative f(x)=3x^2+e^{2x}+pi^2

d er i v a t i v e f (x) = 3 x^{2} + e^{2 x} + π^{2}

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

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

derivative 7x\sqrt[3]{x}

d er i v a t i v e 7 x 3 x