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Beliebt Rechnen >

y^{''}-81y=e^{9x}

Lösung

y^{^{''}} - 81 y = e^{9 x}

Lösung

y = c_{1} e^{9 x} + c_{2} e^{- 9 x} + \frac{e ^{9 x} x}{18}

Schritte zur Lösung

y^{''} (x) - 81 y = e^{9 x}

Solve linear ODE:

y = c_{1} e^{9 x} + c_{2} e^{- 9 x} + \frac{e ^{9 x} x}{18}

y = c_{1} e^{9 x} + c_{2} e^{- 9 x} + \frac{e ^{9 x} x}{18}

Graph

Beliebte Beispiele

y^{''}+4y=t^2+7e^t,y(0)=0,y^'(0)=2

y^{^{''}} + 4 y = t^{2} + 7 e^{t}, y (0) = 0, y^{^{'}} (0) = 2

y^{''}+y^'=(3t^2+2t)e^t+cos(t/2)

y^{^{''}} + y^{^{'}} = (3 t^{2} + 2 t) e^{t} + cos (\frac{t}{2})

y^{''}+5y^'-6y=2sin(4x)

y^{^{''}} + 5 y^{^{'}} - 6 y = 2 sin (4 x)

y^{''}+3y^'+4y=20x+33

y^{^{''}} + 3 y^{^{'}} + 4 y = 20 x + 33

y^{''}-2y^'+5y=cos(4x)+1

y^{^{''}} - 2 y^{^{'}} + 5 y = cos (4 x) + 1