Chapter 2, Section 2.6, Question 18
Given: If N(x) = a function of x only, then the differential equation M(x) + Ny'(x) = 0 has an integrating factor of the form p(x) = e^(∫N(x)dx). Find an integrating factor and solve the given equation: (12x^2y + 2xy + 4y^8) dx + (22 + y^2) dy = 0.
The integrating factor is p(x) = e^(∫N(x)dx).
Do not enter an arbitrary constant. The solution in implicit form is Q(x) = C, where C is a constant of integration.
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