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Beliebt Rechnen >

y^'=-1/5 y^2,y(0)=0.25

Lösung

y^{^{'}} = - \frac{1}{5} y^{2}, y (0) = 0.25

Lösung

y = \frac{5}{t + 20}

Schritte zur Lösung

y^{'} (t) = - \frac{1}{5} y^{2}

Solve separable ODE:

y = \frac{5}{t + 20}

y = \frac{5}{t + 20}

Graph

Beliebte Beispiele

4(dy)/(dx)=(e^ysin^2(x))/(ysec(x))

4 \frac{d y}{d x} = \frac{e ^{y} sin ^{2} ( x )}{y sec ( x )}

(dy)/(dx)+x*y=x*y^2

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

y^'=0.1044*y,y(0)=100000

y^{^{'}} = 0.1044 \cdot y, y (0) = 100000

(dy)/(dx)=(8y)/(9x)

\frac{d y}{d x} = \frac{8 y}{9 x}

y^'=(1+cos(x))y,y(0)=1

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