please show your work!!!
Posted: Mon Jul 11, 2022 12:00 pm
please show your work!!!
1. [-/2 Points] MY NOTES DETAILS ZILLDIFFEQ9 1.2.003.MI. ASK YOUR TEACHER In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. y(3) = ) = ²/1/2 1 x² PRACTICE ANOTHER y = (No Response) Give the largest interval / over which the solution is defined. (Enter your answer using interval notation.) (No Response) (2,∞) Solution or Explanation 1 Letting x = 3 and solving = 5 (2,00). 1 (9+ c) we get c = -4. The solution is y=- 1 4) This solution is defined on the interval
1. [-/2 Points] MY NOTES DETAILS ZILLDIFFEQ9 1.2.003.MI. ASK YOUR TEACHER In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' + 2xy² = 0. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. y(3) = ) = ²/1/2 1 x² PRACTICE ANOTHER y = (No Response) Give the largest interval / over which the solution is defined. (Enter your answer using interval notation.) (No Response) (2,∞) Solution or Explanation 1 Letting x = 3 and solving = 5 (2,00). 1 (9+ c) we get c = -4. The solution is y=- 1 4) This solution is defined on the interval