Verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval.2x2y'' + 5xy' + y = x2 − x;y = c1x−1/2 + c2x−1 + 115x2 − 16x, (0, [infinity])The functions x−1/2 and x−1 satisfy the differential equation and are linearly independent since W(x−1/2, x−1) = ≠ 0 for 0 < x < [infinity]. So the functions x−1/2 and x−1 form a fundamental set of solutions of the associated homogeneous equation, and yp = is a particular solution of the nonhomogeneous equation.

360 different combinations

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

8(4)^8=72^feet to say that the total can conclude to 8(4) which as you know would mean 8 x 4. that equals 32w. 32^ could make a 72 answer as well. but your coefficent will remain w so your answer is 72w.

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