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Beliebt Rechnen >

(D^2-4)y=4x-3e^x

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - x + e^{x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - x + e^{x}

y = c_{1} e^{2 x} + c_{2} e^{- 2 x} - x + e^{x}

Graph

Beliebte Beispiele

y^{'''}-y^{''}-y^'+1=0

y^{^{'''}} - y^{^{''}} - y^{^{'}} + 1 = 0

y^{''}+9y=sin(2x),y(0)=-1,y^'(0)=0

y^{^{''}} + 9 y = sin (2 x), y (0) = - 1, y^{^{'}} (0) = 0

y^{''}+2y^'+y=e^3+e^{2x}

y^{^{''}} + 2 y^{^{'}} + y = e^{3} + e^{2 x}

y^{''}-9y=sin(x)

y^{^{''}} - 9 y = sin (x)

(d^2u)/(dy^2)-4u+6=0

\frac{d ^{2} u}{d y ^{2}} - 4 u + 6 = 0