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Beliebt Rechnen >

6f^{''}(t)=3f^{''}(t)-5f(t)

Lösung

6 f^{^{''}} (t) = 3 f^{^{''}} (t) - 5 f (t)

Lösung

f (t) = c_{1} cos (\frac{5}{3} t) + c_{2} sin (\frac{5}{3} t)

Schritte zur Lösung

6 f^{''} (t) = 3 f^{''} (t) - 5 f (t)

Solve linear ODE:

f (t) = c_{1} cos (\frac{5}{3} t) + c_{2} sin (\frac{5}{3} t)

f (t) = c_{1} cos (\frac{5}{3} t) + c_{2} sin (\frac{5}{3} t)

Graph

Beliebte Beispiele

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

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

y^{''}+4y^'+4y=0,y(0)=2,y^'(0)=3

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = 3

k x^{^{''}} + a x = 0

(d^2x)/(dt^2)+a^2x=0

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

y^{''}-4y=0,y(0)=1,y^'(0)=0

y^{^{''}} - 4 y = 0, y (0) = 1, y^{^{'}} (0) = 0