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Beliebt Rechnen >

y^{''}+4y=8x^2+9x

Lösung

y^{^{''}} + 4 y = 8 x^{2} + 9 x

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + 2 x^{2} + \frac{9 x}{4} - 1

Schritte zur Lösung

y^{''} (x) + 4 y = 8 x^{2} + 9 x

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + 2 x^{2} + \frac{9 x}{4} - 1

y = c_{1} cos (2 x) + c_{2} sin (2 x) + 2 x^{2} + \frac{9 x}{4} - 1

Graph

Beliebte Beispiele

y^{'''}-3y^{''}+3y^'-y=xe^x

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

y^{''}-14y^'+49y=49x+4

y^{^{''}} - 14 y^{^{'}} + 49 y = 49 x + 4

y^{^{''}} + 3 y^{^{'}} = 7

y^{''}+9y=5e^x-162x^2

y^{^{''}} + 9 y = 5 e^{x} - 162 x^{2}

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

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