Types of a Second Order Differential Equations

Given

Integrate both sides,

Integrating once again,

Example:

Solve the differential equation

_{, .}

Solution:

We have

Integrating with respect to x, we have

Integrating again with respect to x we have

put cosecx + cotx = t

=- log t = - log |cosec x +cot x |

\ The solution is

y= log |cosec x+ cot x| + 2x+ c₂

Giving at x = p/2 = 0, y = 0