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Beliebt Rechnen >

(dy)/(dx)-9/x y=(y^3)/(x^{13)},y(1)=1

Lösung

\frac{d y}{d x} - \frac{9}{x} y = \frac{y ^{3}}{x ^{13}}, y (1) = 1

Lösung

y = \frac{3 x ^{9}}{- x ^{6} + 4}

Schritte zur Lösung

\frac{d y}{d x} - \frac{9}{x} y = \frac{y ^{3}}{x ^{13}}

Solve Bernoulli ODE:

y = \frac{3 x ^{9}}{- x ^{6} + 4}

y = \frac{3 x ^{9}}{- x ^{6} + 4}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(sqrt(r^2+s^2))

(\partial)/(\partial x)(e^{3x}dy)

(\partial)/(\partial x)(sqrt(x^2+6xy+y^2))

(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=9

(\partial)/(\partial y)(2x^2+4y^2+1/2)