For the DDS given by yn+1 = Ус -0.5y + 30, find the equilibrium value.
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- Differentiate y = (2x + 1) а. 2 y (2x + 1) b. 1 y 2/(2x + 1) 1 y = (2х + 1) d. y = -V(2x + 1) %3D е. -1 y = V(2x + 1)Find the equilibrium solutions and determine which are stable and which are unstable. y' = 9y – 3y? O y=-3 (stable); y = 0 (unstable) y = 0 (unstable); y=3 (stable) y = 0 (stable); y = 3 (unstable) y=-3 (unstable); y = 0 (stable)Solve and identify the type of equilibrium point at the origin. x' 3 5.
- y=e600x is a solution of Select one: a. y'= 600y b. y' = - 600y c. y'= - 800y d. y' = 800yQ5. Write the governing equation of 1-D heat transfer with convective heat loss and indicate all the parameters involved in it.A steel railroad rail expands and contracts according to the formula Δl = αlΔT, where Δl is the change in length, α is a constant called the coefficient of linear expansion, l is the original length, and ΔT is the change in temperature. If a 50.0 ft steel rail is installed at 0°F, how many inches will it expand when the temperature rises to 110°F? (α = 6.5 ✕ 10−6/°F. Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision. Use the Metric and U.S. Conversion table to find the conversion factor(s).)
- Solve the following first order equations: (e* + y)d.x + (2+ x + ye")dy = 0, y(0) = 1.Show that the smoking free equilibrium E0 = (P0, S0, Qt0 ) = (1, 0, 0) and the smoking present equilibrium E* = (P *, S* , Q* t ), by setting the right-hand side of the equations in the model tozero.Consider the linear system y' = (a) Find the general solution. Ay with 4 - ( -5₁ 4 ) A
