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Beliebt Rechnen >

(d^2y)/(dx^2)=-k^2y

Lösung

\frac{d ^{2} y}{d x ^{2}} = - k^{2} y

Lösung

y = c_{1} cos (k x) + c_{2} sin (k x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = - k^{2} y

Solve linear ODE:

y = c_{1} cos (k x) + c_{2} sin (k x)

y = c_{1} cos (k x) + c_{2} sin (k x)

Graph

Beliebte Beispiele

x^{''}+144x=0,x(0)=3,x^'(0)=-48

x^{^{''}} + 144 x = 0, x (0) = 3, x^{^{'}} (0) = - 48

2y^{''}-8y^'+6y=0

2 y^{^{''}} - 8 y^{^{'}} + 6 y = 0

y^{'''}+4y^{''}-11y^'+6y=0

y^{^{'''}} + 4 y^{^{''}} - 11 y^{^{'}} + 6 y = 0

3y^{''}-4y^'+7y=0

3 y^{^{''}} - 4 y^{^{'}} + 7 y = 0

y^{''}+y^'-2y=0,y(0)=e^t

y^{^{''}} + y^{^{'}} - 2 y = 0, y (0) = e^{t}