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Beliebt Rechnen >

5y^{''}+y^'=-6x,y(0)=0,y^'(0)=-5

Lösung

5 y^{^{''}} + y^{^{'}} = - 6 x, y (0) = 0, y^{^{'}} (0) = - 5

Lösung

y = - 175 + 175 e^{- \frac{x}{5}} - 3 x^{2} + 30 x

Schritte zur Lösung

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

Solve linear ODE:

y = - 175 + 175 e^{- \frac{x}{5}} - 3 x^{2} + 30 x

y = - 175 + 175 e^{- \frac{x}{5}} - 3 x^{2} + 30 x

Graph

Beliebte Beispiele

(d^4+5d^2+4)y=2cos(x)

(d^{4} + 5 d^{2} + 4) y = 2 cos (x)

2y^{''}-y^'-y=5xe^{2x}

2 y^{^{''}} - y^{^{'}} - y = 5 x e^{2 x}

4y^{''}-40y^'+100y=2sin(2x)+5cos(2x)

4 y^{^{''}} - 40 y^{^{'}} + 100 y = 2 sin (2 x) + 5 cos (2 x)

y^{^{''}} - 4 y + 5 = 0

4y^{''}-y=1,y^'(0)= 1/2 ,y(0)=0

4 y^{^{''}} - y = 1, y^{^{'}} (0) = \frac{1}{2}, y (0) = 0