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Beliebt Rechnen >

y^'=(t(4y-y^2))/3

Lösung

y^{^{'}} = \frac{t ( 4 y - y ^{2} )}{3}

Lösung

y = - \frac{4 e ^{\frac{2 t ^{2}}{3} + 4 c_{1}}}{1 - e ^{\frac{2 t ^{2}}{3} + 4 c_{1}}}

Schritte zur Lösung

y^{'} (t) = \frac{t ( 4 y - y ^{2} )}{3}

Solve separable ODE:

y = - \frac{4 e ^{\frac{2 t ^{2}}{3} + 4 c_{1}}}{1 - e ^{\frac{2 t ^{2}}{3} + 4 c_{1}}}

y = - \frac{4 e ^{\frac{2 t ^{2}}{3} + 4 c_{1}}}{1 - e ^{\frac{2 t ^{2}}{3} + 4 c_{1}}}

Graph

Beliebte Beispiele

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

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

(dP)/(dt)=P(7-P)-49/4

\frac{d P}{d t} = P (7 - P) - \frac{49}{4}

y^{^{'}} + \frac{3}{x} y = 0

y(1+x^2)y^'-x(1+y^2)=0,y(0)=1

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

sin(y)cos(x)dy-sin(x)cos(y)dx=0

sin (y) cos (x) d y - sin (x) cos (y) d x = 0