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Beliebt Rechnen >

(d^2f)/(dx^2)+64f(x)=0

Lösung

\frac{d ^{2} f}{d x ^{2}} + 64 f (x) = 0

Lösung

f (x) = c_{1} cos (8 x) + c_{2} sin (8 x)

Schritte zur Lösung

\frac{d ^{2} f}{d x ^{2}} + 64 f = 0

Solve linear ODE:

f (x) = c_{1} cos (8 x) + c_{2} sin (8 x)

f (x) = c_{1} cos (8 x) + c_{2} sin (8 x)

Graph

Beliebte Beispiele

5y^{''}-7y^'+2y=0,y(0)=1,y^'(0)=-0.8y

5 y^{^{''}} - 7 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = - 0.8 y

(D^3-D^2-8D+12)y=0

(D^{3} - D^{2} - 8 D + 12) y = 0

2y^{''}-5y^'-7y=0,y^'(0)=3,y(0)=4

2 y^{^{''}} - 5 y^{^{'}} - 7 y = 0, y^{^{'}} (0) = 3, y (0) = 4

f^{''}(t)+f^'(t)+1/16 f(t)=0

f^{^{''}} (t) + f^{^{'}} (t) + \frac{1}{16} f (t) = 0

6y^{''}+35y=0,y(0)=9,y^'(0)=8

6 y^{^{''}} + 35 y = 0, y (0) = 9, y^{^{'}} (0) = 8