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Beliebt Rechnen >

y^{''}+7y^'+10=x

Lösung

y^{^{''}} + 7 y^{^{'}} + 10 = x

Lösung

y = c_{1} + c_{2} e^{- 7 x} + \frac{x ^{2}}{14} - \frac{71 x}{49}

Schritte zur Lösung

y^{''} (x) + 7 y^{'} (x) + 10 = x

Solve linear ODE:

y = c_{1} + c_{2} e^{- 7 x} + \frac{x ^{2}}{14} - \frac{71 x}{49}

y = c_{1} + c_{2} e^{- 7 x} + \frac{x ^{2}}{14} - \frac{71 x}{49}

Graph

Beliebte Beispiele

y^{'''}-16y^'=te^{-4t}

y^{^{'''}} - 16 y^{^{'}} = t e^{- 4 t}

y^{''}+4y=t^2+6e^t,y(0)=0,y^'(0)=1

y^{^{''}} + 4 y = t^{2} + 6 e^{t}, y (0) = 0, y^{^{'}} (0) = 1

y^{''}+4y=t^2+6e^t,y(0)=0,y^'(0)=3

y^{^{''}} + 4 y = t^{2} + 6 e^{t}, y (0) = 0, y^{^{'}} (0) = 3

y^{''}-y^'=1+e^x

y^{^{''}} - y^{^{'}} = 1 + e^{x}

y^{'''}-y^'=e^{5t}

y^{^{'''}} - y^{^{'}} = e^{5 t}