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Beliebt Rechnen >

(d^3-2d+4)y=3x^2-5x+2

Lösung

(d^{3} - 2 d + 4) y = 3 x^{2} - 5 x + 2

Lösung

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

Schritte zur Lösung

(d^{3} - 2 d + 4) y = 3 x^{2} - 5 x + 2

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

(d^{3} - 3 d^{2} + 4 d - 2) \cdot y = e^{x} + cos (x) + x

(d^4+d^2+16)y=16x^2+256

(d^{4} + d^{2} + 16) y = 16 x^{2} + 256

y^{''}+10y^'+25y=e^{-5}x

y^{^{''}} + 10 y^{^{'}} + 25 y = e^{- 5} x

y^{''}+3y^'+2y=12e^x

y^{^{''}} + 3 y^{^{'}} + 2 y = 12 e^{x}

y^{''}-4y^'+4y=e^{-2}x

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{- 2} x