Determine the order of the differential equation a

it is Differential Equations class

Determine the order of the differential equation and if it is linear or nonlinear. Y’ + sinY = 0 Y’ + e^t = 0 Y”‘ + t^2 y” – 5y’ sin(t) y = f(t) Y”‘ + 5Y^4 – cost = 0 y’/y = 1 + t y’/y = 1 + y Plot the slope field for the differential equation. If y(0) = 0 determine the behavior of the solution as t approaches Infinity. y’ = y^2 – 1 y’ = t^2 – 1 Show transcribed image text