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Beliebt Rechnen >

(D^2-9D+18)y=e^{e^{-3x}}

Lösung

(D^{2} - 9 D + 18) y = e^{e^{- 3 x}}

Lösung

y = c_{1} e^{6 x} + c_{2} e^{3 x} + \frac{e ^{6 x + e^{- 3 x}}}{9}

Schritte zur Lösung

(D^{2} - 9 D + 18) y = e^{e^{- 3 x}}

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} e^{3 x} + \frac{e ^{6 x + e^{- 3 x}}}{9}

y = c_{1} e^{6 x} + c_{2} e^{3 x} + \frac{e ^{6 x + e^{- 3 x}}}{9}

Graph

Beliebte Beispiele

2y^{''}+y^'+3y=33cos(3t)-22sin(3t)

2 y^{^{''}} + y^{^{'}} + 3 y = 33 cos (3 t) - 22 sin (3 t)

d(x)=(x^2-12x+20)/(3x)

d (x) = \frac{x ^{2} - 12 x + 20}{3 x}

4y^{''}+16y=17sec^2(4t)

4 y^{^{''}} + 16 y = 17 sec^{2} (4 t)

-y^{''}+y=e^{1*x},y(0)=0,y(1)=0

- y^{^{''}} + y = e^{1 \cdot x}, y (0) = 0, y (1) = 0

y^{''}+3y^'-4y=cos(3t)

y^{^{''}} + 3 y^{^{'}} - 4 y = cos (3 t)