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Beliebt Rechnen >

3(1+t^2)((dy)/(dt))=2ty(y^3-1)

Lösung

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

Lösung

y = 3 \frac{1}{1 - t ^{2} e ^{3 c_{1}} - e ^{3 c_{1}}}

Schritte zur Lösung

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

Solve separable ODE:

y = 3 \frac{1}{1 - t ^{2} e ^{3 c_{1}} - e ^{3 c_{1}}}

y = 3 \frac{1}{1 - t ^{2} e ^{3 c_{1}} - e ^{3 c_{1}}}

Graph

Beliebte Beispiele

integral of (7(4-x^2))/((x-4)(x-2)(x+3))

\int \frac{7 ( 4 - x ^{2} )}{( x - 4 ) ( x - 2 ) ( x + 3 )} d x

integral of 1/5 sin(5x)

\int \frac{1}{5} sin (5 x) d x

\frac{d}{d t} (- 4 t^{3})

integral of-1/8 sin(2x)

\int - \frac{1}{8} sin (2 x) d x

limit as x approaches 1 of log_{4}(x)

x \to 1 lim (lo g_{4} (x))