Now we must multiply both sides of the given equation by the integrating factor
e^(-2x)
. By the choice of the integrating function and the chain rule, the left side of the equation can always be simplified as follows.
e^(\int P(x)dx)(dy)/(dx) P(x)e^(\int P(x)dx)y=(d)/(dx)[e^(\int P(x)dx)y]
Thus, our equation simplifies as the following.

Question

Now we must multiply both sides of the given equation by the integrating factor

e^(-2x)

. By the choice of the integrating function and the chain rule, the left side of the equation can always be simplified as follows.

e^(\int P(x)dx)(dy)/(dx) P(x)e^(\int P(x)dx)y=(d)/(dx)[e^(\int P(x)dx)y]

Thus, our equation simplifies as the following.

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