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Beliebt Rechnen >

2y^{''}+3y^'+y=gt

Lösung

2 y^{^{''}} + 3 y^{^{'}} + y = g t

Lösung

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

Schritte zur Lösung

2 y^{''} (t) + 3 y^{'} (t) + y = g t

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y=2t,y(0)=-2t

y^{^{''}} - y = 2 t, y (0) = - 2 t

y^{''}=-3y+cos(sqrt(3)x)

y^{^{''}} = - 3 y + cos (3 x)

y^{''}-y^'-6y=62cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 62 cos (3 x)

(d^2x)/(dt^2)+k(dx)/(dt)+g=0

\frac{d ^{2} x}{d t ^{2}} + k \frac{d x}{d t} + g = 0

(d^2y)/(dx^2)+4y=x^2+sin(2x)

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