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Beliebt Rechnen >

(2y^2+3y)dx+2xydy=0

Lösung

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

Lösung

y = \frac{c _{1}}{2 x} - \frac{3}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{c _{1}}{2 x} - \frac{3}{2}

y = \frac{c _{1}}{2 x} - \frac{3}{2}

Graph

Beliebte Beispiele

(dy)/(dx)=-6/9 x^5y^9

\frac{d y}{d x} = - \frac{6}{9} x^{5} y^{9}

y^'=e^{x^2}sqrt(64-y^2)

y^{^{'}} = e^{x^{2}} 64 - y^{2}

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

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

y^'=(e^x)/(e^y),y(0)=ln(2)

y^{^{'}} = \frac{e ^{x}}{e ^{y}}, y (0) = ln (2)

(dy)/(dx)=-4/6 x^4y^8

\frac{d y}{d x} = - \frac{4}{6} x^{4} y^{8}