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Beliebt Rechnen >

y^{''}+y^'+5/4 y=0,y(0)=3,y^'(0)=1

Lösung

y^{^{''}} + y^{^{'}} + \frac{5}{4} y = 0, y (0) = 3, y^{^{'}} (0) = 1

Lösung

y = e^{- \frac{t}{2}} (3 cos (t) + \frac{5}{2} sin (t))

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- \frac{t}{2}} (3 cos (t) + \frac{5}{2} sin (t))

y = e^{- \frac{t}{2}} (3 cos (t) + \frac{5}{2} sin (t))

Graph

Beliebte Beispiele

y^{''}+2y^'+y=0,y^'(0)=8,y(1)=8

y^{^{''}} + 2 y^{^{'}} + y = 0, y^{^{'}} (0) = 8, y (1) = 8

y^{''}-2y^'+10y=0,y(0)=0,y^'(0)=0

y^{^{''}} - 2 y^{^{'}} + 10 y = 0, y (0) = 0, y^{^{'}} (0) = 0

(d^2x)/(dt^2)+2(dx)/(dt)+4x=0

\frac{d ^{2} x}{d t ^{2}} + 2 \frac{d x}{d t} + 4 x = 0

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

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

16y^{''''}+48y^{''}+36y=0

16 y^{^{''''}} + 48 y^{^{''}} + 36 y = 0