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Beliebt Rechnen >

y^{''}+y^'-6=4x^3+3x

Lösung

y^{^{''}} + y^{^{'}} - 6 = 4 x^{3} + 3 x

Lösung

y = c_{1} + c_{2} e^{- x} + x^{4} - 4 x^{3} + \frac{27 x ^{2}}{2} - 21 x

Schritte zur Lösung

y^{''} (x) + y^{'} (x) - 6 = 4 x^{3} + 3 x

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + x^{4} - 4 x^{3} + \frac{27 x ^{2}}{2} - 21 x

y = c_{1} + c_{2} e^{- x} + x^{4} - 4 x^{3} + \frac{27 x ^{2}}{2} - 21 x

Graph

Beliebte Beispiele

x^{^{''}} - 25 x = 6 t

x^{''}-4x^'+4x=e^t+e^{2t}+1

x^{^{''}} - 4 x^{^{'}} + 4 x = e^{t} + e^{2 t} + 1

y^{''}-3y^'+2y=sin(3x),y(0)=1,y^'(0)=0

y^{^{''}} - 3 y^{^{'}} + 2 y = sin (3 x), y (0) = 1, y^{^{'}} (0) = 0

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

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

y^{''}-4y=96x^2e^{2x}+4e^{-2x}

y^{^{''}} - 4 y = 96 x^{2} e^{2 x} + 4 e^{- 2 x}