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Beliebt Rechnen >

y^{''}+100y=0,y(pi)=5,y(0)=2

Lösung

y^{^{''}} + 100 y = 0, y (π) = 5, y (0) = 2

Lösung

y = 5 cos (10 t) + c_{2} sin (10 t)

Schritte zur Lösung

y^{''} (t) + 100 y = 0

Solve linear ODE:

y = 5 cos (10 t) + c_{2} sin (10 t)

y = 5 cos (10 t) + c_{2} sin (10 t)

Graph

Beliebte Beispiele

θ^{''}(t)+(9.8^2)/(80)θ(t)=0

θ^{^{''}} (t) + \frac{9. 8 ^{2}}{80} θ (t) = 0

((\frac{d^2f)/(dx^2))}{f(x)}=1

\frac{( \frac{d ^{2} f}{d x ^{2}} )}{f ( x )} = 1

2y^{''}-3y^'-6y=0

2 y^{^{''}} - 3 y^{^{'}} - 6 y = 0

9x^{''}-12x^'+4x=0,x(0)=1,x^'(0)=-1

9 x^{^{''}} - 12 x^{^{'}} + 4 x = 0, x (0) = 1, x^{^{'}} (0) = - 1

y^{''}+y=0,y^'=5,y(0)=9

y^{^{''}} + y = 0, y^{^{'}} = 5, y (0) = 9