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Beliebt Rechnen >

x^{''}+16x=144,x(0)=5,x^'(0)=12

Lösung

x^{^{''}} + 16 x = 144, x (0) = 5, x^{^{'}} (0) = 12

Lösung

x = - 4 cos (4 t) + 3 sin (4 t) + 9

Schritte zur Lösung

x^{''} (t) + 16 x = 144

Solve linear ODE:

x = - 4 cos (4 t) + 3 sin (4 t) + 9

x = - 4 cos (4 t) + 3 sin (4 t) + 9

Graph

Beliebte Beispiele

x^{''}+6x^'+9=0

x^{^{''}} + 6 x^{^{'}} + 9 = 0

x^{''}-x=-4e^{-t}

x^{^{''}} - x = - 4 e^{- t}

(d^2y)/(dx^2)+y=e^x

\frac{d ^{2} y}{d x ^{2}} + y = e^{x}

0.1x^{''}+10x=100sin(ct)

0.1 x^{^{''}} + 10 x = 100 sin (c t)

y^{''}-2y^'+y=x(cosh(x))

y^{^{''}} - 2 y^{^{'}} + y = x (cosh (x))