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Beliebt Rechnen >

y^{''}+16y=0,y(pi^2)=-10,y^'(pi^2)=3

Lösung

y^{^{''}} + 16 y = 0, y (π^{2}) = - 10, y^{^{'}} (π^{2}) = 3

Lösung

y = c_{1} cos (4 t) + c_{2} sin (4 t)

Schritte zur Lösung

y^{''} (t) + 16 y = 0

Solve linear ODE:

y = c_{1} cos (4 t) + c_{2} sin (4 t)

y = c_{1} cos (4 t) + c_{2} sin (4 t)

Graph

Beliebte Beispiele

y^{''}-2y^'+10y=0,y(0)=0,y^'(0)=2

y^{^{''}} - 2 y^{^{'}} + 10 y = 0, y (0) = 0, y^{^{'}} (0) = 2

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

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

y^{''}+y^'+7y=0

y^{^{''}} + y^{^{'}} + 7 y = 0

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

(D^3+D^2+4D+4)y=0

(D^{3} + D^{2} + 4 D + 4) y = 0