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Beliebt Rechnen >

x^3yy^'+x^2y^2=y^5

Lösung

x^{3} y y^{^{'}} + x^{2} y^{2} = y^{5}

Lösung

y = 3 \frac{5 x ^{2}}{3 + 5 c _{1} x ^{5}}

Schritte zur Lösung

x^{3} y y^{'} (x) + x^{2} y^{2} = y^{5}

Solve Bernoulli ODE:

y = 3 \frac{5 x ^{2}}{3 + 5 c _{1} x ^{5}}

y = 3 \frac{5 x ^{2}}{3 + 5 c _{1} x ^{5}}

Graph

Beliebte Beispiele

(\partial)/(\partial y)(x^2e^{-x/y})

\frac{\partial}{\partial y} (x^{2} e^{- \frac{x}{y}})

integral of 13e^u

\int 13 e^{u} d u

tangent f(x)=x^2-3x+5,\at x=2

t an g e n t f (x) = x^{2} - 3 x + 5, at x = 2

y^'= y/x+sqrt(1+(y/x)^2)

y^{^{'}} = \frac{y}{x} + 1 + (\frac{y}{x})^{2}

integral of (x^2-12)/(x^3+4x)

\int \frac{x ^{2} - 12}{x ^{3} + 4 x} d x