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Beliebt Rechnen >

y^{''}-4y^'-5y=7e^2t

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 7 e^{2} t

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- t} - \frac{7 e ^{2} t}{5} + \frac{28 e ^{2}}{25}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 5 y = 7 e^{2} t

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- t} - \frac{7 e ^{2} t}{5} + \frac{28 e ^{2}}{25}

y = c_{1} e^{5 t} + c_{2} e^{- t} - \frac{7 e ^{2} t}{5} + \frac{28 e ^{2}}{25}

Graph

Beliebte Beispiele

y^{''}+6*y^'+25y=e^{-3t}cos(4t)

y^{^{''}} + 6 \cdot y^{^{'}} + 25 y = e^{- 3 t} cos (4 t)

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

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

y^{''}+4y=2csc^2(2x)

y^{^{''}} + 4 y = 2 csc^{2} (2 x)

2y^{'''}-5y^{''}+3y=3x^2e^{2x}

2 y^{^{'''}} - 5 y^{^{''}} + 3 y = 3 x^{2} e^{2 x}

y^{''}-2y^'=3x^2+1

y^{^{''}} - 2 y^{^{'}} = 3 x^{2} + 1