Q38 of 50 Page 193

The differential equation for where A and B are arbitrary constants is

Let us find the differential equation by differentiating y with respect to x twice


Why twice because we have to eliminate two constants A and B


y = A cos αx + B sin αx


Differentiating



Differentiating again




But y = A cos αx + B sin αx



More from this chapter

All 50 →
36

The order and degree of the differential equation respectively, are

 37

If y = e-x (A cos x + B sin x), then y is a solution of

 39

Solution of differential equation xdy – ydx = 0 represents:

 40

Integrating factor of the differential equation is: