(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the solution to the following 2nd Order Differential Equation at x = 1:

y'' = 10y -200

Boundary conditions:

when x = 0, y = 100

when x = 1, y' = 10

2. The attempt at a solution

Complimentary function: y = A exp{(10)^0.5 x} + B exp{- (10)^0.5 x}

Particular Integral: 20

General Solution: y = A exp{(10)^0.5 x} + B exp{- (10)^0.5 x} + 20

Coefficients: A = 0.276701988 B = 79.72329801

At x = 1, y = 29.91152764

My concern is whether the P.I. is correct.

P.S. I ran this diff equation in MATLAB and the solution at x = 1 was calculated to be 25.7312811548222.

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# Non-homogenous 2nd Order Differential Equation using Undetermined Coefficients Method

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