Q220 Solve (2xy^4e^y + 2xy^3 + y)dx + (x^2y^4e^y - x^2y^2 - 3x)dy = 0

Topic : Ordinary Differential Equation (ODE) Subtopic : Equation of First Order and First Degree Solving Exact Differential Equations Integrating Factor Rule IV : if 1/N(∂M/∂y-∂N/∂x) is a function of x alone, say f(x), Integrating Factor (IF) = e^(∫ f(x)dx) Rule V : if 1/M(∂N/∂x-∂M/∂y) is a function of y alone, say f(y), Integrating Factor (IF) = e^(∫ f(y)dy) Q220 Solve (2xy^4e^y + 2xy^3 + y)dx + (x^2y^4e^y - x^2y^2 - 3x)dy = 0