Solve the given initial value problem. ydx/dy - x = 6y^2, x(8) = 1 Find the coefficient function P(y) when the given differential equation is written in the standard form dx/dy + P(y)x = f(y) Find the integrating factor for the differential equation solve the given initial value problem Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)

Solve the given initial value problem. ydx/dy - x = 6y^2, x(8) = 1 Find the coefficient function P(y) when the given differential equation is written in the standard form  dx/dy + P(y)x = f(y) Find the integrating factor for the differential equation solve the given initial value problem Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)

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Solve the given initial value problem. ydx/dy - x = 6y^2, x(8) = 1 Find the coefficient function P(y) when the given differential equation is written in the standard form dx/dy + P(y)x = f(y) Find the integrating factor for the differential equation solve the given initial value problem Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.)

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