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Beliebt Rechnen >

5y^{''}+y^'=-10x,y(0)=0,y^'(0)=-15

Lösung

5 y^{^{''}} + y^{^{'}} = - 10 x, y (0) = 0, y^{^{'}} (0) = - 15

Lösung

y = - 325 + 325 e^{- \frac{x}{5}} - 5 x^{2} + 50 x

Schritte zur Lösung

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

Solve linear ODE:

y = - 325 + 325 e^{- \frac{x}{5}} - 5 x^{2} + 50 x

y = - 325 + 325 e^{- \frac{x}{5}} - 5 x^{2} + 50 x

Graph

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