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Beliebt Rechnen >

y^{''}-2y^'-3y=8ex-12

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = 8 e x - 12

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{8 e x}{3} + \frac{16 e + 36}{9}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) - 3 y = 8 e x - 12

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{8 e x}{3} + \frac{16 e + 36}{9}

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{8 e x}{3} + \frac{16 e + 36}{9}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+(dy)/(dx)-6y=18

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 18

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

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

y^{''}+49y=sec(7x)

y^{^{''}} + 49 y = sec (7 x)

y^{''}-y^'-2y=10sin(2x)

y^{^{''}} - y^{^{'}} - 2 y = 10 sin (2 x)

y^{''}-7y^'+12y=4e^{2x}

y^{^{''}} - 7 y^{^{'}} + 12 y = 4 e^{2 x}