Yeah, Laplace transform can transform a differential equation in to algebraical equation which is much easier to manipulate and when we take inverse transform we get solution of that differential equation.
It seems that you have missed 1/x in step 2. The final answer you got is just e^x +
c. How it can be? Can you check step no. 2?
Regarding MS word one can disable macros and defend from viruses. For me it worked!!
Actually minus sign is introduced for generality.
Fourier transforms have reciprocal (reversible) property i.e., if you take Fourier transform on a signal two times you will end up with original signal. So if [tex] f(x) [/itex] is even function then both forward and inverse transforms can have...