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Beliebt Rechnen >

y^'=0.2(y-100)

Lösung

y^{^{'}} = 0.2 (y - 100)

Lösung

y = e^{0.2 t + c_{1}} + 100

Schritte zur Lösung

y^{'} (t) = 0.2 (y - 100)

Solve separable ODE:

y = e^{0.2 t + c_{1}} + 100

y = e^{0.2 t + c_{1}} + 100

Graph

Beliebte Beispiele

x^4y^'+y^3x^3=0

x^{4} y^{^{'}} + y^{3} x^{3} = 0

1+tan(y)y^'=x^2+1

1 + tan (y) y^{^{'}} = x^{2} + 1

(dv)/(dt)=30-9/100 v,v=0,t=2

\frac{d v}{d t} = 30 - \frac{9}{100} v, v = 0, t = 2

(dy)/(dx)y=(tan(x))/(1+tan(x))

\frac{d y}{d x} y = \frac{tan ( x )}{1 + tan ( x )}

(dy)/(dx)= y/x ,y=1,x=1

\frac{d y}{d x} = \frac{y}{x}, y = 1, x = 1