Consider the following differential equations. P(y) = dx Find the coefficient function P(y) when the given differential equation is written in the standard form + P(y)x= f(y) dy dx y - X= dy 5y², x(9) = 1 Find the integrating factor for the differential equation. eSP(y)dy = x(y) = Solve the given initial-value problem. I = Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)

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