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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{5 23 t}{2}) + c_{2} sin (\frac{5 23 t}{2}))

Schritte zur Lösung

y^{''} (t) - y^{'} (t) + 144 y = 0

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{5 23 t}{2}) + c_{2} sin (\frac{5 23 t}{2}))

y = e^{\frac{t}{2}} (c_{1} cos (\frac{5 23 t}{2}) + c_{2} sin (\frac{5 23 t}{2}))

Graph

Beliebte Beispiele

y^{''}+64y=0,y(0)=0,y^'(0)=8

y^{^{''}} + 64 y = 0, y (0) = 0, y^{^{'}} (0) = 8

u^{''}+3u^'+5\H(t)=0

u^{^{''}} + 3 u^{^{'}} + 5 H (t) = 0

y^{''}-6y=0,y(0)=-23,y^'(0)=6

y^{^{''}} - 6 y = 0, y (0) = - 23, y^{^{'}} (0) = 6

(D^{3} - D^{2}) y = 0

4y^{'''}+5y^{''}-23y^'-6y=0

4 y^{^{'''}} + 5 y^{^{''}} - 23 y^{^{'}} - 6 y = 0