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Beliebt Rechnen >

3x^{''}-30x^'+75x=2t+1

Lösung

3 x^{^{''}} - 30 x^{^{'}} + 75 x = 2 t + 1

Lösung

x = c_{1} e^{5 t} + c_{2} t e^{5 t} + \frac{2 t}{75} + \frac{3}{125}

Schritte zur Lösung

3 x^{''} (t) - 30 x^{'} (t) + 75 x = 2 t + 1

Solve linear ODE:

x = c_{1} e^{5 t} + c_{2} t e^{5 t} + \frac{2 t}{75} + \frac{3}{125}

x = c_{1} e^{5 t} + c_{2} t e^{5 t} + \frac{2 t}{75} + \frac{3}{125}

Graph

Beliebte Beispiele

y^{''}+y^'-6y=12e^{3t}+12e^{-2t}

y^{^{''}} + y^{^{'}} - 6 y = 12 e^{3 t} + 12 e^{- 2 t}

y^{''}+10y^'+16y=2581cos(5t)

y^{^{''}} + 10 y^{^{'}} + 16 y = 2581 cos (5 t)

y^{^{''}} = k y - c

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

y^{^{''}} - y^{^{'}} - 2 y = \frac{e ^{2 t} + e ^{- 2 t}}{2}

y^{'''}+144y^'=tan(12x)

y^{^{'''}} + 144 y^{^{'}} = tan (12 x)