Question: please help Write the equation in the form y' = f(y/a ) then use the substitution y - au to find an implicit general solution.
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Write the equation in the form y' = f(y/a ) then use the substitution y - au to find an implicit general solution. Then solve the initial value problem. y (1) - 2 The resulting differential equation in a and u can be written as cu which is separable. Separating variables we arrive at du Separating variables and and simplifying the solution can be written in the form u- 1 1 - Cf(x) where C is an arbitrary constant and f( z) = Transforming back into the variables x and y and using the initial condition to find C we find the explicit solution of the initial value problem is
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