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Beliebt Rechnen >

(dy)/(dt)=-0.17(100-y)

Lösung

\frac{d y}{d t} = - 0.17 (100 - y)

Lösung

y = - e^{\frac{17 t}{100} - c_{1}} + 100

Schritte zur Lösung

\frac{d y}{d t} = - 0.17 (100 - y)

Solve separable ODE:

y = - e^{\frac{17 t}{100} - c_{1}} + 100

y = - e^{\frac{17 t}{100} - c_{1}} + 100

Graph

Beliebte Beispiele

((dy))/((dx))=((1))/((4)y)

\frac{( d y )}{( d x )} = \frac{( 1 )}{( 4 ) y}

y^'=-2y-8,y(0)=0

y^{^{'}} = - 2 y - 8, y (0) = 0

y^'=-(3y)/(1000+3t)

y^{^{'}} = - \frac{3 y}{1000 + 3 t}

(dy)/(dx)=(1+y^6)/(xy^5)

\frac{d y}{d x} = \frac{1 + y ^{6}}{x y ^{5}}

(x+1)^2dy-ydx=0

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