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Beliebt Rechnen >

x^{''}+16x=0,x(0)=-1,x^'(0)=-5

Lösung

x^{^{''}} + 16 x = 0, x (0) = - 1, x^{^{'}} (0) = - 5

Lösung

x = - cos (4 t) - \frac{5}{4} sin (4 t)

Schritte zur Lösung

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

Solve linear ODE:

x = - cos (4 t) - \frac{5}{4} sin (4 t)

x = - cos (4 t) - \frac{5}{4} sin (4 t)

Graph

Beliebte Beispiele

y^{'''}-6y^{''}+9y^'=0

y^{^{'''}} - 6 y^{^{''}} + 9 y^{^{'}} = 0

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

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

(d^2y)/(dx^2)+(dy)/(dx)-2y=0

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

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

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

y^{''}-9y^'+14y=0

y^{^{''}} - 9 y^{^{'}} + 14 y = 0