solve-the-differential-equation-d-2-dt-2-x-2-x-t-0-x-0-0-x-2-0-o-

Question Number 190259 by jlewis last updated on 30/Mar/23

solve the differential

equation .

\frac{d^{2}}{{dt}^{2}} x + ω^{2} x (t) = 0

; x (0) = 0; x^{2} (0) = υ_{o}

Commented by mr W last updated on 30/Mar/23

x (t) = \frac{v_{0}}{ω} \sin ω t

Commented by mehdee42 last updated on 30/Mar/23

x^{2} (0) = 0 \neq v_{0}

Commented by mr W last updated on 31/Mar/23

x (0) = 0 a n d x^{2} (0) = v_{0} i s n o n - s e n s e .

i t i s m e a n t x^{'} (0) = v_{0}, s e e q u e s t i o n

b e l o w .

Commented by mehdee42 last updated on 31/Mar/23

e x a c t l y . y o u a r e r i g h t . i t w a s s t r a n g f o r m r t o o .

t h e q u e s t i o n i s t y p e d i n c o r r e c t l y . t h a n k y o u v e r y m u c h