Question: The indicated function y, (x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution




The indicated function y, (x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation and a particular solution yp(x) of the given nonhomogeneous equation. y" - 25y = 4; y1 = e- -5x Y2 (X) = 5x Yp (X) = XThe indicated function y1(X) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, efP(x) dx = d 5 yz y1(X) / Vim X ( ) as instructed, to find a second solution y2(x). (12xx2)y"+2(1+x)y'2y=0; y1=x+1 y2=
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