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hellllllllllp please
a) Verify that the function y = ?? + is a solution of the differential equation zy +2y 4x? (x > 0). b) Find the value ofe fo
a) Verify that the function y=x? + с 2 is a solution of the differential equation ry + 2y = 4x², (x > 0). b) Find the value
Find the value of k for which the constant function (t) = k is a solution of the differential equation 8% dz dt 9x -9=0. Ques
The solution of a certain differential equation is of the form y(t) ae +bel, where a and b are constants. The solution has in
+e- It is easy to check that for any value of c, the function y = = ce-2 + is a solution of the equation y + 2y = e. Find th
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Answer #1

(a:) x Given differential equation is ay+ 2y = 4x² y = x² + C 22 Y= 2x - 26 < (2x-hey +2 [2°+92). = 42 2²+ C is a solution* Given requation is -X - 2x _ e* - 2 Ge X -& e -X gray=e* G = Ge 2 te y -26 6-2 é & tage 2 the Ge 2 & 4 is a solution of y

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