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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{4 x} + c_{2} e^{- x} - \frac{3 e ^{2} x}{4} + \frac{9 e ^{2}}{16}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{- x} - \frac{3 e ^{2} x}{4} + \frac{9 e ^{2}}{16}

y = c_{1} e^{4 x} + c_{2} e^{- x} - \frac{3 e ^{2} x}{4} + \frac{9 e ^{2}}{16}

Graph

Beliebte Beispiele

y^{''}-4y^'+5y=(2e^{2x})/(sin(x))

y^{^{''}} - 4 y^{^{'}} + 5 y = \frac{2 e ^{2 x}}{sin ( x )}

y^{''}+y^'-2y=12cos(2x)

y^{^{''}} + y^{^{'}} - 2 y = 12 cos (2 x)

y^{''}+9y=xe^{3x}

y^{^{''}} + 9 y = x e^{3 x}

(D^2-3D+2)y=72xe^{-x}

(D^{2} - 3 D + 2) y = 72 x e^{- x}

y^{''}+6y^'+8=(3x-2)e^{4x}

y^{^{''}} + 6 y^{^{'}} + 8 = (3 x - 2) e^{4 x}