Work Problem [60 points]: Write step by step solutions and justify your answers. 1) [20 Points] Consider the DE dy = 4x²
Posted: Wed Jul 06, 2022 12:04 pm
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.
Work Problem [60 points]: Write step by step