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Beliebt Rechnen >

5y^{''}+y^'=-6x,y(0)=0,y^'(0)=-10

Lösung

5 y^{^{''}} + y^{^{'}} = - 6 x, y (0) = 0, y^{^{'}} (0) = - 10

Lösung

y = - 200 + 200 e^{- \frac{x}{5}} - 3 x^{2} + 30 x

Schritte zur Lösung

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

Solve linear ODE:

y = - 200 + 200 e^{- \frac{x}{5}} - 3 x^{2} + 30 x

y = - 200 + 200 e^{- \frac{x}{5}} - 3 x^{2} + 30 x

Graph

Beliebte Beispiele

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

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

y^{''}+2y^'+y=(ln(x))/(e^x)

y^{^{''}} + 2 y^{^{'}} + y = \frac{ln ( x )}{e ^{x}}

y^{''}-y^'-2y=((e^{2t}+e^{-2t}))/2

y^{^{''}} - y^{^{'}} - 2 y = \frac{( e ^{2 t} + e ^{- 2 t} )}{2}

(D^3+10D^2+25D)y=e^x

(D^{3} + 10 D^{2} + 25 D) y = e^{x}

y^{^{''}} + 3 y^{^{'}} = 4