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Beliebt Rechnen >

y^{''''}+2y^{''}+y=0

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = 0

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t))

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 0

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t))

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t))

Graph

Beliebte Beispiele

derivative of ((10/(4+x))^{1/2})

\frac{d}{d x} ((\frac{10}{4 + x})^{\frac{1}{2}})

derivative-1/4 x^4+6x^2

d er i v a t i v e - \frac{1}{4} x^{4} + 6 x^{2}

derivative of (x^4/(12))

\frac{d}{d x} (\frac{x ^{4}}{12})

derivative f(x)=4x^2sin(x)+2x

d er i v a t i v e f (x) = 4 x^{2} sin (x) + 2 x

derivative cos((1-e^{6x})/(1+e^{6x)})

d er i v a t i v e cos (\frac{1 - e ^{6 x}}{1 + e ^{6 x}})