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Beliebt Rechnen >

4y^{''}+2y^'+2y=0

Lösung

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

Lösung

y = e^{- \frac{t}{4}} (c_{1} cos (\frac{7 t}{4}) + c_{2} sin (\frac{7 t}{4}))

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- \frac{t}{4}} (c_{1} cos (\frac{7 t}{4}) + c_{2} sin (\frac{7 t}{4}))

y = e^{- \frac{t}{4}} (c_{1} cos (\frac{7 t}{4}) + c_{2} sin (\frac{7 t}{4}))

Graph

Beliebte Beispiele

derivative of x+xsqrt(x)

\frac{d}{d x} (x + x x)

derivative of x^3+3^x

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

integral of sin(x)2x

\int sin (x) 2 x d x

sum from n=0 to infinity of (1^n)/(3^n)

n = 0 \sum \infty \frac{1 ^{n}}{3 ^{n}}

limit as x approaches 0-of 4/(tan(x))

x \to 0 - lim (\frac{4}{tan ( x )})