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Beliebt Rechnen >

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

Lösung

(x^{2} y^{3} - \frac{1}{1 + 9 x ^{2}}) d x + (x^{3} y^{2}) d y = 0

Lösung

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

Schritte zur Lösung

(x^{2} y^{3} - \frac{1}{1 + 9 x ^{2}}) d x + (x^{3} y^{2}) d y = 0

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

derivative of sin^2(x-cos^2(x))

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

limit as x approaches 5 of 3/(x-5)

x \to 5 lim (\frac{3}{x - 5})

derivative of |x|^x

\frac{d}{d x} (∣ x ∣^{x})

integral of 1/(x-sqrt(x-2))

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

(dy)/(dx)=((3x+2y))/(3x+2y+2)

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