Question: 4. (20 points) Solving autonomous equations as exact. You may assume that f(y) # 0 for all real y. (a) Solve the autonomous equation '

4. (20 points) Solving autonomous equations as exact. You may assume that f(y) # 0 for all real y. (a) Solve the autonomous equation ' = f(y) using the method of separation of variables. (b) Solve the same equation by treating it as an exact equation. (c) Compare and show that the general solution obtained in both methods is identical. Note: Your solutions will rely on finding antiderivatives. Let F(y) = [ dy denote the antiderivative of [f(y)]

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