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Beliebt Rechnen >

y^{''}+4y=e^{(-t)}

Lösung

y^{^{''}} + 4 y = e^{(- t)}

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y = e^{(- t)}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative csc(sqrt(x+5))

d er i v a t i v e csc (x + 5)

(dy}{dx}-(\frac{1+x)/x)y=(y^2)/x

\frac{d y}{d x} - (\frac{1 + x}{x}) y = \frac{y ^{2}}{x}

integral from 1 to 3 of 4

\int_{1}^{3} 4 d x

derivative f(x)=sin(2x^3)

d er i v a t i v e f (x) = sin (2 x^{3})

integral from 1 to 2 of xsqrt(x^2-1)

\int_{1}^{2} x x^{2} - 1 d x