Work Problem [60 points]: Write step by step solutions and justify your answers. 1) [20 Points] Consider the DE dy = 4x²

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answerhappygod
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Work Problem [60 points]: Write step by step solutions and justify your answers. 1) [20 Points] Consider the DE dy = 4x²

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Work Problem 60 Points Write Step By Step Solutions And Justify Your Answers 1 20 Points Consider The De Dy 4x 1
Work Problem 60 Points Write Step By Step Solutions And Justify Your Answers 1 20 Points Consider The De Dy 4x 1 (41.14 KiB) Viewed 19 times
Work Problem [60 points]: Write step by step solutions and justify your answers. 1) [20 Points] Consider the DE dy = 4x²y + 5xy dx A) Solve the given differential equation by separation of variables. B) Find a solution that satisfies the initial condition y(1) = 1 2) [20 Points] Consider the linear DE: 3xy' - 9y = 6x³ A) Find an explicit solution of the given DE, and explain the largest interval where this solution exists. B) Find a solution that satisfies the initial condition y(1) = 1 3) [20 Points] Consider the DE: (6xy + 3x²)dx - (2y² - 3x²)dy = 0 A) Verify that the DE is exact. B) Solve the given DE.
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