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Beliebt Rechnen >

(d^2y)/(dx^2)+5^2y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 5^{2} y = 0

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 5^{2} y = 0

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x)

y = c_{1} cos (5 x) + c_{2} sin (5 x)

Graph

Beliebte Beispiele

y^{''}+6y^'+13y=0,y(0)=3

y^{^{''}} + 6 y^{^{'}} + 13 y = 0, y (0) = 3

2y^{''}+9y^'-5y=0

2 y^{^{''}} + 9 y^{^{'}} - 5 y = 0

y^{''}+1y=0,y(pi^2)=3,y^'(pi^2)=-1

y^{^{''}} + 1 y = 0, y (π^{2}) = 3, y^{^{'}} (π^{2}) = - 1

-2y^{''}+4y^'=0

- 2 y^{^{''}} + 4 y^{^{'}} = 0

8x^{''}+20x^'+32x=0

8 x^{^{''}} + 20 x^{^{'}} + 32 x = 0