Q1(Program Outcomes: PI-PII). The differential equation is formulated in differentials as(2x2+y2)dx+xydy=0. The equation is defined in the domain y(x0)=y0x0=2,y0=-1BC0at the initial condition y(x0)=y0 where x0=2,y0=-1.(A) Specify (a) what is the order of the differential equation, (b)isit linear or nonlinear, (c)isit separable, or exact, or reducible to exact, or homogeneous, which is reducible to separable (use the results of Parts B and C below)?(3 points)(a)(b)(c)(B) Write down a general form of(a) separable equation, (b) exact equation, and (c) a condition for the equation tobe exact. (3 points)(a)(b)(c)(C)Do necessary actions to verify whether the equation is(a) exact or(b) homogeneous.(2 points)(a)(b)(D) Using a change of variables, rewrite the equation in the form ready for integration. Find a general solution (inan implicit form)in terms of the new variables being applied.(3 points)(E) Rewrite a solution obtained in Part Das a solution (inan implicit form)in the original variables x and yy=yp(x).(3 points)(G) Verify the particular solution yp(x)by substituting itin the equation and the initial condition.