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Beliebt Rechnen >

y^{''}-2y^'-15y=4e^t

Lösung

y^{^{''}} - 2 y^{^{'}} - 15 y = 4 e^{t}

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- 3 t} - \frac{1}{4} e^{t}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 15 y = 4 e^{t}

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- 3 t} - \frac{1}{4} e^{t}

y = c_{1} e^{5 t} + c_{2} e^{- 3 t} - \frac{1}{4} e^{t}

Graph

Beliebte Beispiele

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

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

y^{''}-2y^'+2y=2x^2-2x+1+sin(x)

y^{^{''}} - 2 y^{^{'}} + 2 y = 2 x^{2} - 2 x + 1 + sin (x)

y^{^{''}} - y + 3 = 0

y^{''}+4y^'+4y=3x+6

y^{^{''}} + 4 y^{^{'}} + 4 y = 3 x + 6

y^{''}-2y^'-8y=3e^{3x}

y^{^{''}} - 2 y^{^{'}} - 8 y = 3 e^{3 x}