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Beliebt Rechnen >

(d^2-8d+20)y=100x^2-26xe^x

Lösung

(d^{2} - 8 d + 20) \cdot y = 100 x^{2} - 26 x \cdot e^{x}

Lösung

y = e^{4 x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 5 x^{2} + 4 x + \frac{11}{10} - 2 x e^{x} - \frac{12}{13} e^{x}

Schritte zur Lösung

(d^{2} - 8 d + 20) y = 100 x^{2} - 26 x e^{x}

Solve linear ODE:

y = e^{4 x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 5 x^{2} + 4 x + \frac{11}{10} - 2 x e^{x} - \frac{12}{13} e^{x}

y = e^{4 x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 5 x^{2} + 4 x + \frac{11}{10} - 2 x e^{x} - \frac{12}{13} e^{x}

Graph

Beliebte Beispiele

(d^2+4d+5)*y=e^{-2x}

(d^{2} + 4 d + 5) \cdot y = e^{- 2 x}

(d^2+1)y=sec(x)

(d^{2} + 1) y = sec (x)

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

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

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

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

(d^3+d)*y=cos(x)

(d^{3} + d) \cdot y = cos (x)