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Beliebt Rechnen >

y^{''}-2y^'-8y=6+3x

Lösung

y^{^{''}} - 2 y^{^{'}} - 8 y = 6 + 3 x

Lösung

y = c_{1} e^{4 x} + c_{2} e^{- 2 x} - \frac{3 x}{8} - \frac{21}{32}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) - 8 y = 6 + 3 x

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{- 2 x} - \frac{3 x}{8} - \frac{21}{32}

y = c_{1} e^{4 x} + c_{2} e^{- 2 x} - \frac{3 x}{8} - \frac{21}{32}

Graph

Beliebte Beispiele

2 y^{^{''}} + 4 y = 6 t

y^{''}+6y^'+8y=8t+22,y(0)=-7,y^'(0)=20

y^{^{''}} + 6 y^{^{'}} + 8 y = 8 t + 22, y (0) = - 7, y^{^{'}} (0) = 20

y^{''}-5y^'+4y=8x*e^{2x}

y^{^{''}} - 5 y^{^{'}} + 4 y = 8 x \cdot e^{2 x}

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

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

(d^2+5d+6)y=(d+1)6t^2

(d^{2} + 5 d + 6) y = (d + 1) 6 t^{2}