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Beliebt Rechnen >

y^{''}-9y^'+18y=e^{6t}

Lösung

y^{^{''}} - 9 y^{^{'}} + 18 y = e^{6 t}

Lösung

y = c_{1} e^{6 t} + c_{2} e^{3 t} + \frac{e ^{6 t} t}{3}

Schritte zur Lösung

y^{''} (t) - 9 y^{'} (t) + 18 y = e^{6 t}

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} e^{3 t} + \frac{e ^{6 t} t}{3}

y = c_{1} e^{6 t} + c_{2} e^{3 t} + \frac{e ^{6 t} t}{3}

Graph

Beliebte Beispiele

y^{''}+y=2*cos(x)*cos(2x)

y^{^{''}} + y = 2 \cdot cos (x) \cdot cos (2 x)

y^{''}+4y=-cos(3t)-2sin(3t)

y^{^{''}} + 4 y = - cos (3 t) - 2 sin (3 t)

y^{'''}-4y^{''}+5y^'=40x-7-6e^{2x}

y^{^{'''}} - 4 y^{^{''}} + 5 y^{^{'}} = 40 x - 7 - 6 e^{2 x}

y^{'''}=3y^{''}+9(e^{9x})+9(cos(x))

y^{^{'''}} = 3 y^{^{''}} + 9 (e^{9 x}) + 9 (cos (x))

y^{''}-5y^'+6y=8e^{4x}

y^{^{''}} - 5 y^{^{'}} + 6 y = 8 e^{4 x}