Question: It is Advanced Engineering Mathematics class. 1. Classify the following differential equation. d^2x/dt^2 + e^x =1 2. Using Taylor Series expansion linearize the above equation,

It is Advanced Engineering Mathematics class.

1. Classify the following differential equation.

d^2x/dt^2 + e^x =1

2. Using Taylor Series expansion linearize the above equation, classify it, and find the general solution for the given initial conditions.

x(0)=0 and dx/dt(0)=pi/2

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