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Beliebt Rechnen >

x^2((dy)/(dx))-xy+3y^2=0

Lösung

x^{2} (\frac{d y}{d x}) - x y + 3 y^{2} = 0

Lösung

y = \frac{x}{3 ln ( x ) + c _{1}}

Schritte zur Lösung

x^{2} (\frac{d y}{d x}) - x y + 3 y^{2} = 0

Solve Bernoulli ODE:

y = \frac{x}{3 ln ( x ) + c _{1}}

y = \frac{x}{3 ln ( x ) + c _{1}}

Graph

Beliebte Beispiele

integral from 0 to 2 of x^3sqrt(x^2+4)

\int_{0}^{2} x^{3} x^{2} + 4 d x

(\partial)/(\partial y)(4y-3x^2)

\frac{\partial}{\partial y} (4 y - 3 x^{2})

integral of (x^4)/((3+x^5)^2)

\int \frac{x ^{4}}{( 3 + x ^{5} ) ^{2}} d x

integral of 1/(x*ln(x))

\int \frac{1}{x \cdot ln ( x )} d x

derivative of 4x+10

\frac{d}{d x} (4 x + 10)