Question: 1. Solve the following differential equations and find particular solutions where possible. Where the differential equation is exact, show why you say it is

1. Solve the following differential equations and find particular solutions where possible.

1. Solve the following differential equations and find particular solutions where possible. Where the differential equation is exact, show why you say it is exact. Show all your work. 1. x?(y+ 1)dx = y?(1- x)dy 2. dy sinx y tanx dx 3. 2y = (x3 + xy?) %3D dx 4. x- xy2 +y = 0 dx 5. (sec?x coty - y)dx (tanx cosec?y + x)dy 0 x2 dy = y? - xy 6. y(1) = 1 QUESTION 2: 1. Show that the solution of: dy x y 1.1 with initial condition, y(1) = 2 dx 1+x3

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