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Beliebt Rechnen >

v^{''}-16v=2e^{4x}

Lösung

v^{^{''}} - 16 v = 2 e^{4 x}

Lösung

v (x) = c_{1} e^{4 x} + c_{2} e^{- 4 x} + \frac{e ^{4 x} x}{4}

Schritte zur Lösung

v^{''} (x) - 16 v (x) = 2 e^{4 x}

Solve linear ODE:

v (x) = c_{1} e^{4 x} + c_{2} e^{- 4 x} + \frac{e ^{4 x} x}{4}

v (x) = c_{1} e^{4 x} + c_{2} e^{- 4 x} + \frac{e ^{4 x} x}{4}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=t^5e^{-t}

y^{^{''}} + 2 y^{^{'}} + y = t^{5} e^{- t}

y^{''}+49y=17sec^2(7t)

y^{^{''}} + 49 y = 17 sec^{2} (7 t)

(1/2)y^{''}+y^'+5y=sin(3t)

(\frac{1}{2}) y^{^{''}} + y^{^{'}} + 5 y = sin (3 t)

y^{''''}+25y^{''}=sin(5t)+te^{6t}+4

y^{^{''''}} + 25 y^{^{''}} = sin (5 t) + t e^{6 t} + 4

6y^{''}-10y^'-4y=x+2

6 y^{^{''}} - 10 y^{^{'}} - 4 y = x + 2