Question

How to solve a differential equation of the type ax''+bx'+cx=d where a,b,c,d are all constants?

Answer 1

Simple. Solve the equation \[ax''+bx'+cx=0\] and then add a constant to your solution that, when differentiated, will disappear and its loss will equal the difference between the solution and the derivative.

Here's how you solve the above equation. Assume x is the linear combination of two exponential functions, e^at and e^bt. Solve for a and b.