Determine the type of differential equation 2 xy 3y 2 si

Determine the type of differential equation. (2 - x)y\" - 3y\' + 2 = sin x Select one: ordinary differential equation (ODE) partial differential equation (PDE)

Solution

Given that

(x - 2)y\'\' - 3y\' + 2 = sinx

Divide the given equation by x-2

y\'\' - (3/x-2)y\' + (2/x-2) = (sinx)/(x-2)

This equation is in the form of non homogeneous second order ODE y\'\' + p(x)y\' + q(x)y = g(x)

Hence ,

The given equation is ordinary differential equation(ODE)