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Beliebt Rechnen >

y^{''}+5y^'+4y=8x^2+3+2cos(2x)

Lösung

y^{^{''}} + 5 y^{^{'}} + 4 y = 8 x^{2} + 3 + 2 cos (2 x)

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 4 x} + 2 x^{2} - 5 x + 6 + \frac{1}{5} sin (2 x)

Schritte zur Lösung

y^{''} (x) + 5 y^{'} (x) + 4 y = 8 x^{2} + 3 + 2 cos (2 x)

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 4 x} + 2 x^{2} - 5 x + 6 + \frac{1}{5} sin (2 x)

y = c_{1} e^{- x} + c_{2} e^{- 4 x} + 2 x^{2} - 5 x + 6 + \frac{1}{5} sin (2 x)

Graph

Beliebte Beispiele

2y^{''}-3y^'+y=64

2 y^{^{''}} - 3 y^{^{'}} + y = 64

y^{''}-3y+2=x^2+2x+1

y^{^{''}} - 3 y + 2 = x^{2} + 2 x + 1

5y^{''}+7y^'+3y=x^2+2e^{5x}

5 y^{^{''}} + 7 y^{^{'}} + 3 y = x^{2} + 2 e^{5 x}

(D^2-2D+1)y=cosh(x)

(D^{2} - 2 D + 1) y = cosh (x)

y^{''}-2y^'-24y=5e^{3x}+x^2

y^{^{''}} - 2 y^{^{'}} - 24 y = 5 e^{3 x} + x^{2}