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Beliebt Rechnen >

y^{''}+8y^'+7y=-8-x+24x^2+7x^3

Lösung

y^{^{''}} + 8 y^{^{'}} + 7 y = - 8 - x + 24 x^{2} + 7 x^{3}

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 7 x} + x^{3} - x

Schritte zur Lösung

y^{''} (x) + 8 y^{'} (x) + 7 y = - 8 - x + 24 x^{2} + 7 x^{3}

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 7 x} + x^{3} - x

y = c_{1} e^{- x} + c_{2} e^{- 7 x} + x^{3} - x

Graph

Beliebte Beispiele

integral of x^2*sqrt(1-x^2)

\int x^{2} \cdot 1 - x^{2} d x

integral of (1+cos^2(x))

\int (1 + cos^{2} (x)) d x

limit as x approaches infinity of 5e^{-t}i-(5t)/(t+7)j+5arctan(tk)

x \to \infty lim (5 e^{- t} i - \frac{5 t}{t + 7} j + 5 arctan (t k))

(\partial)/(\partial x)(x^2+y^2+3xy+5x)

\frac{\partial}{\partial x} (x^{2} + y^{2} + 3 x y + 5 x)

x^{2} y^{^{'}} + (2 - y) = 0