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Beliebt Rechnen >

4y^{''}-4y+5y=0,y(0)= 1/2 ,y^'(0)=1

Lösung

4 y^{^{''}} - 4 y + 5 y = 0, y (0) = \frac{1}{2}, y^{^{'}} (0) = 1

Lösung

y = \frac{1}{2} cos (\frac{t}{2}) + 2 sin (\frac{t}{2})

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{1}{2} cos (\frac{t}{2}) + 2 sin (\frac{t}{2})

y = \frac{1}{2} cos (\frac{t}{2}) + 2 sin (\frac{t}{2})

Graph

Beliebte Beispiele

y^{''}-10y^'-16y=0

y^{^{''}} - 10 y^{^{'}} - 16 y = 0

y^{^{'}} + y = y^{^{''}}

5/6 y^{''}+10y^'+60y=0,y(0)=0,y^'(0)=0

\frac{5}{6} y^{^{''}} + 10 y^{^{'}} + 60 y = 0, y (0) = 0, y^{^{'}} (0) = 0

(d^2y)/(dx^2)+(dy)/(dx)+6y=0

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + 6 y = 0

- y^{^{''}} + 9 y = 0