Differential equations questions | form six Pure Advanced Mathematics

Find Differential equations examination questions, form six Pure Advanced Mathematics in acaproso.com

#	Question
1	Solve the differential equation $frac{r an heta}{a^{2}-r^{2}}frac{d}{d heta}=1$ given that r =0 when $heta =frac{pi}{4}$ Verify that $y=10sin 3x+9cos 3x$ is a solution of the differential equation $frac{d^{2}y}{dx^{2}}+9y=0$ if $frac{dy}{dx}=0$ when x=0. Mathematical Calculation
2	The population of a certain country doubles in 15 years. In how many years will it be six times under the assumption that the rate of increase is proportional to the number of inhabitants?. Find the particular solution of the differential equation $frac{d^{2}y}{dx^{2}}+3frac{dy}{dx}+2y=cos x$ Mathematical Calculation
3	Form a differential equation whose general solution is $y=Ae^{mx}+Be^{-mx}$ where A,B and m are constants. Mathematical Calculation
4	If $y=left ( frac{1-x^{2}}{1+x^{2}} ight )$ , show that $(1-x^{4})frac{dy}{dx}+4nxy=0$ Mathematical Calculation