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Beliebt Rechnen >

2(d^2y)/(dt^2)+20(dy)/(dt)+50=8*(t)

Lösung

2 \frac{d ^{2} y}{d t ^{2}} + 20 \frac{d y}{d t} + 50 = 8 \cdot (t)

Lösung

y = c_{1} + c_{2} e^{- 10 t} + \frac{t ^{2}}{5} - \frac{127 t}{50}

Schritte zur Lösung

2 \frac{d ^{2} y}{d t ^{2}} + 20 \frac{d y}{d t} + 50 = 8 \cdot (t)

Solve linear ODE:

y = c_{1} + c_{2} e^{- 10 t} + \frac{t ^{2}}{5} - \frac{127 t}{50}

y = c_{1} + c_{2} e^{- 10 t} + \frac{t ^{2}}{5} - \frac{127 t}{50}

Graph

Beliebte Beispiele

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

x^{''}-3x^'+2x=2sin(t)-6cos(t)

x^{^{''}} - 3 x^{^{'}} + 2 x = 2 sin (t) - 6 cos (t)

y^{''}-7y^'+12y=6e^x

y^{^{''}} - 7 y^{^{'}} + 12 y = 6 e^{x}

y^{''}+7y^'+10y=3x^2+x-2

y^{^{''}} + 7 y^{^{'}} + 10 y = 3 x^{2} + x - 2

y^{''}-4y=8x^3,y(0)=0,y^'(0)=1

y^{^{''}} - 4 y = 8 x^{3}, y (0) = 0, y^{^{'}} (0) = 1