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Beliebt Rechnen >

(d^2y)/(dt^2)+3/100 (dy)/(dt)=12

Lösung

\frac{d ^{2} y}{d t ^{2}} + \frac{3}{100} \frac{d y}{d t} = 12

Lösung

y = c_{1} + c_{2} e^{- \frac{3 t}{100}} + 400 t

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} + \frac{3}{100} \frac{d y}{d t} = 12

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{3 t}{100}} + 400 t

y = c_{1} + c_{2} e^{- \frac{3 t}{100}} + 400 t

Graph

Beliebte Beispiele

y^{''}=-y+cos(2t)

y^{^{''}} = - y + cos (2 t)

y^{''}+5y^'+2=0

y^{^{''}} + 5 y^{^{'}} + 2 = 0

y^{''}+10y=10e^{11x}

y^{^{''}} + 10 y = 10 e^{11 x}

y^{''}+36y=33cos(5t),y(0)=0,y^'(0)=0

y^{^{''}} + 36 y = 33 cos (5 t), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 2 y^{^{'}} = x