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Beliebt Rechnen >

(dy}{dx}=\frac{2y)/x+x^2y^5

Lösung

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

Lösung

y = \frac{4 11 x ^{2}}{4 - 4 x ^{11} + c _{1}}, y = - \frac{4 11 x ^{2}}{4 - 4 x ^{11} + c _{1}}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{4 11 x ^{2}}{4 - 4 x ^{11} + c _{1}}, y = - \frac{4 11 x ^{2}}{4 - 4 x ^{11} + c _{1}}

y = \frac{4 11 x ^{2}}{4 - 4 x ^{11} + c _{1}}, y = - \frac{4 11 x ^{2}}{4 - 4 x ^{11} + c _{1}}

Graph

Beliebte Beispiele

integral from 0 to 1 of 4e^{5sqrt(x)}

\int_{0}^{1} 4 e^{5 x} d x

integral of 2-4x

\int 2 - 4 x d x

(d^2)/(dx^2)(e^{9e^x})

\frac{d ^{2}}{d x ^{2}} (e^{9 e^{x}})

derivative f(x)= 5/(x+5)

d er i v a t i v e f (x) = \frac{5}{x + 5}

integral of (sin(3x))/(cos^2(3x))

\int \frac{sin ( 3 x )}{cos ^{2} ( 3 x )} d x