Question: Find an explicit solution of the given initial-value problem. Determine the exact interval I of definition by analytical methods. Use a graphing utility to plot

Find an explicit solution of the given initial-value problem. Determine the exact interval I of definition by analytical methods. Use a graphing utility to plot the graph of the solution.

1. dy/dx = 2x + 1 / 2y, y(-2) = -1

2. (2y - 2)dy/dx 2x² + 4x + 2, y(1) = -2

3. e^y dx – e^-x dy = 0, y(0) = 0

4. sinx dx + y dy = 0, y(0) = 1

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1 Separating variables we get The condition y2 1 implies c 1 Thus y 2 x 2 x 1 and y x 2 x 1 in order ... View full answer

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