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Beliebt Rechnen >

y^{''}+y^'+5/4 y=0

Lösung

y^{^{''}} + y^{^{'}} + \frac{5}{4} y = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) + y^{'} (t) + \frac{5}{4} y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

1/8 x^{''}+x^'+2x=0,x(0)=-1,x^'(0)=14

\frac{1}{8} x^{^{''}} + x^{^{'}} + 2 x = 0, x (0) = - 1, x^{^{'}} (0) = 14

x^{''}-6x^'+9x=0

x^{^{''}} - 6 x^{^{'}} + 9 x = 0

y^{^{''}} + 144 y = 0

5/8 x^{''}+40x=0

\frac{5}{8} x^{^{''}} + 40 x = 0

(d^2y)/(dt^2)-4(dy)/(dt)=0

\frac{d ^{2} y}{d t ^{2}} - 4 \frac{d y}{d t} = 0