a) Determine whether the differential equation y1+x+2x1+y=0 - is linear or nonlinear? - separable or non-separable?...

  

Transcribed Image Text:

a) Determine whether the differential equation y1+x+2x1+y=0 - is linear or nonlinear? - separable or non-separable? -homogeneous or non-homogeneous? Give reason to your answers. b) Find a particular solution subject to the initial condition y(0) = -1. c) Determine whether the solution is the odd or even function? d) Verify the solution obtained by its substitution into the original equation. e) Using a technology, plot the solution in the interval x = [-3, 3]. a) Determine whether the differential equation y1+x+2x1+y=0 - is linear or nonlinear? - separable or non-separable? -homogeneous or non-homogeneous? Give reason to your answers. b) Find a particular solution subject to the initial condition y(0) = -1. c) Determine whether the solution is the odd or even function? d) Verify the solution obtained by its substitution into the original equation. e) Using a technology, plot the solution in the interval x = [-3, 3].