Question: Problem 1. Various ODEsUse the mathematical methods used in the lectures to find the analytic solution of the followingODEs. If necessary, the solution could be

Problem 1. Various ODEsUse the mathematical methods used in the lectures to find the analytic solution of the followingODEs. If necessary, the solution could be left in the implicit form.8*1.5=12(a)(x2-yx2)dy+(y2+x2y2)dx=0(b)(1+y2)(1+lnx)dx=xdy(c)x2y'=3(x2+y2)arctan(yx)+xy(d)(x3+y3)dx-xy2dy=0(e)(2r-3)d=dr(f)xdy+ydx=xy2dx(g)2x(1+x2-y2)dx=x2-y2dy(h)3x2(1+lny)dx+(x3y-2y)dy=0Show each step in detail with explanation

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