Question

how to solve this problem?​

Answer 1

y_terms * dy/dx = x_terms

now integrate both sides, with respect to x:

∫ (y_terms * dy/dx) dx = ∫ x_terms dx

∫ dy/dx dx = y; but ∫ 1 dy = y as well, therefore: ∫ (dy/dx) dx = ∫ (1) dy = y

So you end up with turning ∫ (y_terms dy/dx) dx = ∫ x_terms dx

into ∫ y_terms dy = ∫ x_terms