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Beliebt Rechnen >

y^{''}-2y^'=12x+10

Lösung

y^{^{''}} - 2 y^{^{'}} = 12 x + 10

Lösung

y = c_{1} e^{2 x} + c_{2} - 3 x^{2} - 8 x

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) = 12 x + 10

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} - 3 x^{2} - 8 x

y = c_{1} e^{2 x} + c_{2} - 3 x^{2} - 8 x

Graph

Beliebte Beispiele

y^{''}+2y^'+17y=20e^t,y(0)=2,y^{''}(0)=-4

y^{^{''}} + 2 y^{^{'}} + 17 y = 20 e^{t}, y (0) = 2, y^{^{''}} (0) = - 4

y^{''}+7y^'+12y=2e^{-t}

y^{^{''}} + 7 y^{^{'}} + 12 y = 2 e^{- t}

y^{''}+16y=sin(8x)

y^{^{''}} + 16 y = sin (8 x)

2x^{''}+3x^'+5x=2t

2 x^{^{''}} + 3 x^{^{'}} + 5 x = 2 t

y^{''}-6y^'+8y=8e^{4x}

y^{^{''}} - 6 y^{^{'}} + 8 y = 8 e^{4 x}