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Beliebt Rechnen >

4y^{''}=-25y

Lösung

4 y^{^{''}} = - 25 y

Lösung

y = c_{1} cos (\frac{5 t}{2}) + c_{2} sin (\frac{5 t}{2})

Schritte zur Lösung

4 y^{''} (t) = - 25 y

Solve linear ODE:

y = c_{1} cos (\frac{5 t}{2}) + c_{2} sin (\frac{5 t}{2})

y = c_{1} cos (\frac{5 t}{2}) + c_{2} sin (\frac{5 t}{2})

Graph

Beliebte Beispiele

35y^{''''}+52y^{''}+9y=0

35 y^{^{''''}} + 52 y^{^{''}} + 9 y = 0

(d^4y)/(dt^4)-y^{'''}-y^{''}+y^'=0

\frac{d ^{4} y}{d t ^{4}} - y^{^{'''}} - y^{^{''}} + y^{^{'}} = 0

2u^{''}+u^'+3\H(t)=0

2 u^{^{''}} + u^{^{'}} + 3 H (t) = 0

y^{''}+2y^'-10y=0,y(0)=2,y^'(0)=-1

y^{^{''}} + 2 y^{^{'}} - 10 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

2y^{''}-0y^'+18y=0

2 y^{^{''}} - 0 y^{^{'}} + 18 y = 0