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Beliebt Rechnen >

y^{''}-4y^'+3y=20cos(x)

Lösung

y^{^{''}} - 4 y^{^{'}} + 3 y = 20 cos (x)

Lösung

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

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 3 y = 20 cos (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}+x^'+12x=20cos(3t)

x^{^{''}} + x^{^{'}} + 12 x = 20 cos (3 t)

y^{''}+6y^'+9y=2e^{-3t}

y^{^{''}} + 6 y^{^{'}} + 9 y = 2 e^{- 3 t}

y^{'''}-y^'=x^2+2xe^x+e^{2x}

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

y^{''}+6y^'+8y=3e^{5x}+x^2-1

y^{^{''}} + 6 y^{^{'}} + 8 y = 3 e^{5 x} + x^{2} - 1

y^{''}+9y=sin(2x)

y^{^{''}} + 9 y = sin (2 x)