Question

Find the differential equation of the family of curves y e (Acos x Bsin x) x = + where A and
B are arbitrary constants and hence solve the equation.

Answer 1

Question #54710, Math / Differential Equations

Find the differential equation of the family of curves $y$ e $(A\cos x B\sin x) x = +$ where $A$ and $B$ are arbitrary constants and hence solve the equation.

Answer.

$$y = A \cos x + B \sin x$$ $$y' = -A \sin x + B \cos x$$ $$y'' = -A \cos x - B \sin x$$

So $y'' + y = 0$

www.AssignmentExpert.com