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Beliebt Rechnen >

kx^{''}+ax=0

Lösung

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

Lösung

x = c_{1} cos (\frac{a}{k} t) + c_{2} sin (\frac{a}{k} t)

Schritte zur Lösung

k x^{''} (t) + a x = 0

Solve linear ODE:

x = c_{1} cos (\frac{a}{k} t) + c_{2} sin (\frac{a}{k} t)

x = c_{1} cos (\frac{a}{k} t) + c_{2} sin (\frac{a}{k} t)

Graph

Beliebte Beispiele

(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

y^{'''}+5y^{''}+y^'-75y=0,y(0)=e^{3x}

y^{^{'''}} + 5 y^{^{''}} + y^{^{'}} - 75 y = 0, y (0) = e^{3 x}

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

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

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

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