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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- x} - e^{x}

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - 2 y = 2 e^{x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - e^{x}

y = c_{1} e^{2 x} + c_{2} e^{- x} - e^{x}

Graph

Beliebte Beispiele

(D^2-4D+13)y=24e^{2x}*cos(3x)

(D^{2} - 4 D + 13) y = 24 e^{2 x} \cdot cos (3 x)

(d^2y)/(dx^2)-2(dy)/(dx)+y=xe^x

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = x e^{x}

y^{''}+36y=11sec^2(6t)

y^{^{''}} + 36 y = 11 sec^{2} (6 t)

y^{''}+6y^'-32y=-120sin(4t)

y^{^{''}} + 6 y^{^{'}} - 32 y = - 120 sin (4 t)

y^{''}-y=-2cos(x)

y^{^{''}} - y = - 2 cos (x)