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Beliebt Rechnen >

y^{''}-2y^'-3y=4ex-9

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = 4 e x - 9

Lösung

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{4 e x}{3} + \frac{8 e + 27}{9}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) - 3 y = 4 e x - 9

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{4 e x}{3} + \frac{8 e + 27}{9}

y = c_{1} e^{3 x} + c_{2} e^{- x} - \frac{4 e x}{3} + \frac{8 e + 27}{9}

Graph

Beliebte Beispiele

y^{''}-8y^'+16y=24x+2

y^{^{''}} - 8 y^{^{'}} + 16 y = 24 x + 2

(d^2y)/(dx^2)+y=-16cos(3x)

\frac{d ^{2} y}{d x ^{2}} + y = - 16 cos (3 x)

y^{''}-4y^'+3y= 1/(1+e^{-x)}

y^{^{''}} - 4 y^{^{'}} + 3 y = \frac{1}{1 + e ^{- x}}

x^{''}+8x^'+16x=2sin(4t)

x^{^{''}} + 8 x^{^{'}} + 16 x = 2 sin (4 t)

y^{''}-4y=x-x^2

y^{^{''}} - 4 y = x - x^{2}