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Beliebt Rechnen >

5y^{''}+y^'=-4x,y(0)=0,y^'(0)=-5

Lösung

5 y^{^{''}} + y^{^{'}} = - 4 x, y (0) = 0, y^{^{'}} (0) = - 5

Lösung

y = - 125 + 125 e^{- \frac{x}{5}} - 2 x^{2} + 20 x

Schritte zur Lösung

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

Solve linear ODE:

y = - 125 + 125 e^{- \frac{x}{5}} - 2 x^{2} + 20 x

y = - 125 + 125 e^{- \frac{x}{5}} - 2 x^{2} + 20 x

Graph

Beliebte Beispiele

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

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

y^{''}-10y^'+25y=t,y(0)=0,y^'(0)=1

y^{^{''}} - 10 y^{^{'}} + 25 y = t, y (0) = 0, y^{^{'}} (0) = 1

y^{'''}-49y^'=te^{-7t}+8cos(7t)

y^{^{'''}} - 49 y^{^{'}} = t e^{- 7 t} + 8 cos (7 t)

y^{''''}+2y^{''}+y=3+cos(6t)

y^{^{''''}} + 2 y^{^{''}} + y = 3 + cos (6 t)

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

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