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Beliebt Rechnen >

(3y^2x^2-3x^2)dx+(5x^3y)dy=0

Lösung

(3 y^{2} x^{2} - 3 x^{2}) d x + (5 x^{3} y) d y = 0

Lösung

y = \frac{c _{1} + x ^{\frac{6}{5}}}{x ^{\frac{6}{5}}}, y = - \frac{c _{1} + x ^{\frac{6}{5}}}{x ^{\frac{6}{5}}}

Schritte zur Lösung

(3 y^{2} x^{2} - 3 x^{2}) d x + (5 x^{3} y) d y = 0

Solve separable ODE:

y = \frac{c _{1} + x ^{\frac{6}{5}}}{x ^{\frac{6}{5}}}, y = - \frac{c _{1} + x ^{\frac{6}{5}}}{x ^{\frac{6}{5}}}

y = \frac{c _{1} + x ^{\frac{6}{5}}}{x ^{\frac{6}{5}}}, y = - \frac{c _{1} + x ^{\frac{6}{5}}}{x ^{\frac{6}{5}}}

Graph

Beliebte Beispiele

(y^2+y)dx-xdy=0,y(1)=1

(y^{2} + y) d x - x d y = 0, y (1) = 1

y^{^{'}} = - x^{5} y^{2}

(dy)/(dx)+y/5 =y^{-3}

\frac{d y}{d x} + \frac{y}{5} = y^{- 3}

(dy}{dx}=-\frac{3cos(x))/y

\frac{d y}{d x} = - \frac{3 cos ( x )}{y}

(x+2)^2*(dy)/(dx)=4xy

(x + 2)^{2} \cdot \frac{d y}{d x} = 4 x y