Question: 1. Consider the differential equation (3y + 4xy2) dx + (2x + 3xy) dy = 0. (a) Is it exact? (b) Can we use

1. Consider the differential equation (3y + 4xy2) dx + (2x +

1. Consider the differential equation (3y + 4xy2) dx + (2x + 3xy) dy = 0. (a) Is it exact? (b) Can we use the Integrating Factor for Exact Equations method as we know it? Explain. (c) Find the general solution to the given equation using the fact that the DE has an integrating factor of the form u(x,y) = XPYP. 1. Consider the differential equation (3y + 4xy2) dx + (2x + 3xy) dy = 0. (a) Is it exact? (b) Can we use the Integrating Factor for Exact Equations method as we know it? Explain. (c) Find the general solution to the given equation using the fact that the DE has an integrating factor of the form u(x,y) = XPYP. 1. Consider the differential equation (3y + 4xy2) dx + (2x + 3xy) dy = 0. (a) Is it exact? (b) Can we use the Integrating Factor for Exact Equations method as we know it? Explain. (c) Find the general solution to the given equation using the fact that the DE has an integrating factor of the form u(x,y) = XPYP.

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