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1-1. (15 points) Given the following first order ODE = (ey + 2x)dx + eydy = 0 Eq. (Q1-1) (a). (5 points) A student gives
Posted: Mon May 09, 2022 11:01 am
by answerhappygod
- 1 1 15 Points Given The Following First Order Ode Ey 2x Dx Eydy 0 Eq Q1 1 A 5 Points A Student Gives 1 (140.35 KiB) Viewed 29 times
1-1. (15 points) Given the following first order ODE = (ey + 2x)dx + eydy = 0 Eq. (Q1-1) (a). (5 points) A student gives a general solution xey + 2x = c, Sol. (Q1-1) Where c is an arbitrary constant. Verify whether Sol. (Q1-1) is the solution of Eq. (Q1-1) Justify your answer. (b). (10 points) Solve y(x) for the initial condition y(0) = 1. 1-2. (10 points) (a). (7 points) Solve the following Bernoulli equation y'(x) - y(x) = y*(x) Eq. (Q1-2) (b). (3 points) Based on the solution found in 1-2(a), find the limit of y(x) when x → 00.