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Beliebt Rechnen >

(dy)/(dt)= t/(y-t^2y),y(0)=4

Lösung

\frac{d y}{d t} = \frac{t}{y - t ^{2} y}, y (0) = 4

Lösung

y = - ln (1 - t^{2}) + 16

Schritte zur Lösung

\frac{d y}{d t} = \frac{t}{y - t ^{2} y}

Solve separable ODE:

y = - ln (1 - t^{2}) + 16

y = - ln (1 - t^{2}) + 16

Graph

Beliebte Beispiele

sqrt(x)(dy)/(dx)=e^{6y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{6 y + x}, x > 0

(dN)/(dt)=kN(t)

\frac{d N}{d t} = k N (t)

(dv)/(dt)+2v=32

\frac{d v}{d t} + 2 v = 32

(dx)/(dt)=5x-3,x(2)=1

\frac{d x}{d t} = 5 x - 3, x (2) = 1

(dy)/(dx)=5x(y^2)

\frac{d y}{d x} = 5 x (y^{2})