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Beliebt Rechnen >

f^{''}(x)=6f^'(x)-6f(x)

Lösung

f^{^{''}} (x) = 6 f^{^{'}} (x) - 6 f (x)

Lösung

f (x) = c_{1} e^{(3 + 3) x} + c_{2} e^{(3 - 3) x}

Schritte zur Lösung

f^{''} (x) = 6 f^{'} (x) - 6 f (x)

Solve linear ODE:

f (x) = c_{1} e^{(3 + 3) x} + c_{2} e^{(3 - 3) x}

f (x) = c_{1} e^{(3 + 3) x} + c_{2} e^{(3 - 3) x}

Graph

Beliebte Beispiele

16y^{''}+64y=0,y(0)=0.3,y^'(0)=-0.2

16 y^{^{''}} + 64 y = 0, y (0) = 0.3, y^{^{'}} (0) = - 0.2

y^{'''}-y^{''}-9y^'+9y=0

y^{^{'''}} - y^{^{''}} - 9 y^{^{'}} + 9 y = 0

y^{^{''}} - 5 y + 6 y = 0

(d^2y)/(dx^2)+(dy)/(dx)+8y=0

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + 8 y = 0

y^{''}+2y^'=0,y(0)=14,y^'(0)=-10

y^{^{''}} + 2 y^{^{'}} = 0, y (0) = 14, y^{^{'}} (0) = - 10