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Beliebt Rechnen >

3(1+q^2)(dp)/(dq)=2pq(p^3-1)

Lösung

3 (1 + q^{2}) \frac{d p}{d q} = 2 pq (p^{3} - 1)

Lösung

p = 3 \frac{1}{1 - q ^{2} e ^{3 c_{1}} - e ^{3 c_{1}}}

Schritte zur Lösung

3 (1 + q^{2}) \frac{d p}{d q} = 2 pq (p^{3} - 1)

Solve separable ODE:

p = 3 \frac{1}{1 - q ^{2} e ^{3 c_{1}} - e ^{3 c_{1}}}

p = 3 \frac{1}{1 - q ^{2} e ^{3 c_{1}} - e ^{3 c_{1}}}

Beliebte Beispiele

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

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

xy^2(dy)/(dx)=x+1

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

(dy)/(dx)=((y-1))/(x^2-1)

\frac{d y}{d x} = \frac{( y - 1 )}{x ^{2} - 1}

(dy)/(dx)=2xy^2+3x^2y^2,y(0)=5

\frac{d y}{d x} = 2 x y^{2} + 3 x^{2} y^{2}, y (0) = 5

(x-1)y^'=(4-y^2)

(x - 1) y^{^{'}} = (4 - y^{2})