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Please Answer 5-9 ALL in detail

In problems 5 and 6 solve the given differential equation. 5. y (In x - In y) dx = (x In x - x In y - y) dy Ans: 6. (2x + y +

7. Solve the initial-value problem + 2(t+1)y? = 0, y(0) = %. Ans: dy_y2 - xy(t) = -2. 8. Find an implicit solution of the ini

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(x-)dydy Iny= C ()- C Eons teif G (2xyt dy dn 2y : -2y ) e C - e eday 2t tC (t-0y 1 : OtotC 8 = dy takuo dy v-l+d C 2 C

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Please Answer 5-9 ALL in detail In problems 5 and 6 solve the given differential equation....
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