Find the general solution of the equation y_y_ = 1 using
Chapter , Problem 59(choose chapter or problem)
Find the general solution of the equation y_y_ = 1 using the following steps. a. Use the Chain Rule to show that d dt 1y_1t222 = 2y_1t2y_1t2. b. Write the original differential equation as 1y_1t222_ = 2. c. Integrate both sides of the equation in part (b) with respect to t to obtain the first-order equation y_ = {12t + c1, where c1 is an arbitrary constant. d. Solve this equation to show that there are two families of solutions, y = c2 + 1 3 12t + c123>2 and y = c2 - 1 3 12t + c123>2, where c2 is an arbitrary constant.
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