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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{( 1 + 5 ) x}{2}} + c_{2} e^{\frac{( 1 - 5 ) x}{2}} - x^{3} + 3 x^{2} - 12 x + 18

Schritte zur Lösung

y^{''} (x) - y^{'} (x) - y = x^{3}

Solve linear ODE:

y = c_{1} e^{\frac{( 1 + 5 ) x}{2}} + c_{2} e^{\frac{( 1 - 5 ) x}{2}} - x^{3} + 3 x^{2} - 12 x + 18

y = c_{1} e^{\frac{( 1 + 5 ) x}{2}} + c_{2} e^{\frac{( 1 - 5 ) x}{2}} - x^{3} + 3 x^{2} - 12 x + 18

Graph

Beliebte Beispiele

y^{''}+9y=sin(x)+cos(x)

y^{^{''}} + 9 y = sin (x) + cos (x)

y^{''}+2y^'+y=sec^2(x)

y^{^{''}} + 2 y^{^{'}} + y = sec^{2} (x)

3x^{''}+48x=153e^{-2t}cos(4t)

3 x^{^{''}} + 48 x = 153 e^{- 2 t} cos (4 t)

y^{''}-9y=4e^{3t},y(0)=0,y^'(0)=-1

y^{^{''}} - 9 y = 4 e^{3 t}, y (0) = 0, y^{^{'}} (0) = - 1

y^{''}-3y^'+2y=2cos^2(4x)

y^{^{''}} - 3 y^{^{'}} + 2 y = 2 cos^{2} (4 x)