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Beliebt Rechnen >

y^{''}+4y^'+5y=-5x+5e^{-x}

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = - 5 x + 5 e^{- x}

Lösung

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) - x + \frac{4}{5} + \frac{5}{2} e^{- x}

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) - x + \frac{4}{5} + \frac{5}{2} e^{- x}

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) - x + \frac{4}{5} + \frac{5}{2} e^{- x}

Graph

Beliebte Beispiele

xy^'+y=y^2,y(1)=-5

x y^{^{'}} + y = y^{2}, y (1) = - 5

derivative of \sqrt[7]{x^3}

\frac{d}{d x} (7 x^{3})

sum from n=1 to infinity of (8n)/(-2n+9)

n = 1 \sum \infty \frac{8 n}{- 2 n + 9}

derivative f(x)=9pix^2

d er i v a t i v e f (x) = 9 π x^{2}

derivative of (x^2+x^3e^{-1/x})

\frac{d}{d x} ((x^{2} + x^{3}) e^{- \frac{1}{x}})