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Beliebt Rechnen >

y^{''}+2y^'-3y=-15x^2+26x-3

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = - 15 x^{2} + 26 x - 3

Lösung

y = c_{1} e^{x} + c_{2} e^{- 3 x} + 5 x^{2} - 2 x + 3

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) - 3 y = - 15 x^{2} + 26 x - 3

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 3 x} + 5 x^{2} - 2 x + 3

y = c_{1} e^{x} + c_{2} e^{- 3 x} + 5 x^{2} - 2 x + 3

Graph

Beliebte Beispiele

y^{''}+6y^'+5y=5x+1

y^{^{''}} + 6 y^{^{'}} + 5 y = 5 x + 1

y^{''}+25y=4sec(5x)

y^{^{''}} + 25 y = 4 sec (5 x)

(d^2v)/(dx^2)-k^2v=k^2n

\frac{d ^{2} v}{d x ^{2}} - k^{2} v = k^{2} n

y^{'''}+12y^{''}+48y^'+64y=9e^{-4x}

y^{^{'''}} + 12 y^{^{''}} + 48 y^{^{'}} + 64 y = 9 e^{- 4 x}

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

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