# Second order ordinary differential equation

Find y as a function of x if:

(x^2)(y'') - 5xy' -16y = 0

y(1)=2

y'(1)= 9

https://brainmass.com/math/ordinary-differential-equations/second-order-ordinary-differential-equation-26569

#### Solution Preview

This is a cauchy-euler DE. In general such equations have this form:

(x^2)(y'') + axy'+ by = 0

and ...

#### Solution Summary

This shows how to solve a second order differential equation.

$2.19