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Beliebt Rechnen >

y^{''}+3y=-48xe^{3x}

Lösung

y^{^{''}} + 3 y = - 48 x e^{3 x}

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 4 x e^{3 x} + 2 e^{3 x}

Schritte zur Lösung

y^{''} (x) + 3 y = - 48 x e^{3 x}

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 4 x e^{3 x} + 2 e^{3 x}

y = c_{1} cos (3 x) + c_{2} sin (3 x) - 4 x e^{3 x} + 2 e^{3 x}

Graph

Beliebte Beispiele

y^{''}+8y^'+8y=cos(4x)

y^{^{''}} + 8 y^{^{'}} + 8 y = cos (4 x)

y^{''}+y^'-2y=e^xsin(x/2)cos(x/2)

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

x^{''}+6x^'+34x=68

x^{^{''}} + 6 x^{^{'}} + 34 x = 68

(d^2y)/(dx^2)-(dy)/(dx)=-3

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} = - 3

y^{''}+4y=1,y(0)=0,y^'(0)=1

y^{^{''}} + 4 y = 1, y (0) = 0, y^{^{'}} (0) = 1