Consider the following EVIEWS output for monthly data from 1990 to 2008 on US petrol consumption, prices, income etc.The variables are defined asLPETCONS_G = Natural Log Petrol Consumption per head (Gallons)LRPETPRICE = Natural Log Real Average Monthly Petrol Price Per GallonLRINCOME = Natural Log Real Monthly US Income per headD_SPRING – Dummy= 1 when month = March, April, May , (0 otherwise)D_SUMMER – Dummy= 1 when month = June, July, August, (0 otherwise)D_AUTUMN – Dummy= 1 when month = September, October, November, (0 otherwise)Carefully interpret and discuss the Eviews regression output and regression model of the petrol consumption?You should also state your opinion as an analyst of the company producing or selling petrol
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′ − 4y′ + 3y = x ; use y1 = e3x vi. y′′ + 5y′ + 6y = e2xcos(x) vii. y′′ + y = sec(x) tan(x)
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′