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Beliebt Rechnen >

y^{''}+8y^'+25y=0,y(0)=3,y^'(0)=-11

Lösung

y^{^{''}} + 8 y^{^{'}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = - 11

Lösung

y = e^{- 4 t} (3 cos (3 t) + \frac{1}{3} sin (3 t))

Schritte zur Lösung

y^{''} (t) + 8 y^{'} (t) + 25 y = 0

Solve linear ODE:

y = e^{- 4 t} (3 cos (3 t) + \frac{1}{3} sin (3 t))

y = e^{- 4 t} (3 cos (3 t) + \frac{1}{3} sin (3 t))

Graph

Beliebte Beispiele

x^6+y^5sqrt(x^7+5)y^'=0

x^{6} + y^{5} x^{7} + 5 y^{^{'}} = 0

integral of e^{-tx}sin(x)

\int e^{- t x} sin (x) d x

limit as x approaches-1 of 3x^2-1

x \to - 1 lim (3 x^{2} - 1)

integral of 1/(e^{2x)}

\int \frac{1}{e ^{2 x}} d x

(\partial)/(\partial x)(-3ycos(-9x))

\frac{\partial}{\partial x} (- 3 y cos (- 9 x))