- Q1 A B C Show That Y Ae Be Where A And B Are Constants Is The General Solution Of The Differential Equa 1 (50.51 KiB) Viewed 34 times
Q1 (a) (b) (c) Show that y = Ae²* + Be ³*, where A and B are constants, is the general solution of the differential equation y"+y'-6y=0. Hence, find the solution when y(1) = 2e²e³ and y(0) = 1. By using the substitution z = cos y, show that the differential equation dy cot y dx X can be reduce to (i) (ii) dz Z + dx is an exact equation. X Hence, solve the original equation when y(1) = 0. = e³x csc y -e³x. Show that the equation (3x²y²-10xy²)dx + (2x³y-10x²y)dy = 0 (5 marks) (10 marks) (3 marks) Then, determine the general solution from the given differential equation. (7 marks)