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Beliebt Rechnen >

linear y^{''}+(216/7)y=0

Lösung

linear

y^{^{''}} + (\frac{216}{7}) y = 0

Lösung

y = c_{1} cos (\frac{6 ^{3}}{7} t) + c_{2} sin (\frac{6 ^{3}}{7} t)

Schritte zur Lösung

y^{''} (t) + (\frac{216}{7}) y = 0

Solve linear ODE:

y = c_{1} cos (\frac{6 ^{3}}{7} t) + c_{2} sin (\frac{6 ^{3}}{7} t)

y = c_{1} cos (\frac{6 ^{3}}{7} t) + c_{2} sin (\frac{6 ^{3}}{7} t)

Graph

Beliebte Beispiele

(D^5-5D^4+7D^3+D^2-8D+4)y=0

(D^{5} - 5 D^{4} + 7 D^{3} + D^{2} - 8 D + 4) y = 0

y^{''}-7y+12y=0

y^{^{''}} - 7 y + 12 y = 0

(y^{''}+2y^'+5y)=0

(y^{^{''}} + 2 y^{^{'}} + 5 y) = 0

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

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

y^{''}+y^'-6y=0,y(0)=α,y^'(0)=5

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = α, y^{^{'}} (0) = 5