Find the general solution of the differential equation: ip dt t. Use lower case c for constant in answer. y(t)

Find the differential equation having the solution as: a. y = Ce¬* + C2e¬2x + x b. y = C, + C2e3*

dA 11. Suppose the CO₂ levels in the atmosphere (in ppm) can be modeled by the differential -.00003 (A - 288.03) (A - 961.97), where t is measured in years since 1957 with a CO₂ level in 1987 of 350.05 parts per million. equation: dt (a) Use Euler's method with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (b) Use RK4 with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (c) Examine the differential equation and determine the maximum CO₂ levels this logistic model predicts.

d³y d4y Find the order and degree of the differential equation:- = dx3 dx4 dy 4xy dx