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Beliebt Rechnen >

y^'-(6y)/x =(y^4)/(x^{12)}

Lösung

y^{^{'}} - \frac{6 y}{x} = \frac{y ^{4}}{x ^{12}}

Lösung

y = \frac{3 7 x ^{6}}{3 - 3 x ^{7} + c _{1}}

Schritte zur Lösung

y^{'} (x) - \frac{6 y}{x} = \frac{y ^{4}}{x ^{12}}

Solve Bernoulli ODE:

y = \frac{3 7 x ^{6}}{3 - 3 x ^{7} + c _{1}}

y = \frac{3 7 x ^{6}}{3 - 3 x ^{7} + c _{1}}

Graph

Beliebte Beispiele

2 x y y^{^{'}} = x^{2} + y^{2}

integral of (1-2x^5)/x

\int \frac{1 - 2 x ^{5}}{x} d x

integral from 0 to 1 of (1-x^2)^{3/2}

\int_{0}^{1} (1 - x^{2})^{\frac{3}{2}} d x

integral of (15)/(x^2+1)

\int \frac{15}{x ^{2} + 1} d x

(\partial)/(\partial x)(\sqrt[3]{x})

\frac{\partial}{\partial x} (3 x)