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Beliebt Rechnen >

y^{''}-4y^'-5y=6x^2+4x+1

Lösung

y^{^{''}} - 4 y^{^{'}} - 5 y = 6 x^{2} + 4 x + 1

Lösung

y = c_{1} e^{5 x} + c_{2} e^{- x} - \frac{6 x ^{2}}{5} + \frac{28 x}{25} - \frac{197}{125}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) - 5 y = 6 x^{2} + 4 x + 1

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{- x} - \frac{6 x ^{2}}{5} + \frac{28 x}{25} - \frac{197}{125}

y = c_{1} e^{5 x} + c_{2} e^{- x} - \frac{6 x ^{2}}{5} + \frac{28 x}{25} - \frac{197}{125}

Graph

Beliebte Beispiele

y^{''}+2y^'+2y=4

y^{^{''}} + 2 y^{^{'}} + 2 y = 4

y^{''}-6y^'+9y=5t^2,y(0)=0,y^'(0)=1

y^{^{''}} - 6 y^{^{'}} + 9 y = 5 t^{2}, y (0) = 0, y^{^{'}} (0) = 1

y^{''}-8y^'+16y=16x+7

y^{^{''}} - 8 y^{^{'}} + 16 y = 16 x + 7

y^{''}-8y^'+16y=16x+5

y^{^{''}} - 8 y^{^{'}} + 16 y = 16 x + 5

y^{'''}-3y^{''}+3y^'-y=(e^t)/t

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = \frac{e ^{t}}{t}