User:Kongrui875/Report2

=R*2.2=

Problem 2: Verify solution
Report problem 2.2 from.

Given: The solution of a particular L1-ODE-CC (linear first order ordinary differential equation with constant coefficients)
A linear first order ordinary differential equation

has the solution of

Find: Verify the solution
Verify the ($$) is indeed the solution of ($$).

Solution: It is indeed the solution

 * {| style="width:100%" border="0"

This solution was prepared without referring to previous solutions.
 * style="width:92%; padding:10px; border:2px solid #8888aa" |
 * style="width:92%; padding:10px; border:2px solid #8888aa" |
 * }

Take first order derivative of ($$),

Substitute ($$) and ($$) into left hand side of ($$),

Thus,

This proved the ($$) is the solution of ($$)