Email: bbcnoun@gmail.com Whatsapp: 08131667008 MTH382 Question: State the order and whether they are linear or non linear the following D.E \\((1-x) y^{\'\'}-4xy^{\'}+5y=\\( cos x\\) Answer: [D] second order linear Question: Determine the order of the following differential equation \\( y^{\'}y^{\'\'}=t^3\\) Answer: [A] order 2 Question: Which of the following function y(t) is a solution of \\( y^{\'}=3y+12\\) on the given interval I Answer: [D] \\( y(t)=ce^{3t}-4\\) Question: Consider the differential equation\\(( y^{\'}=y-t\\) determine which of the following functions defined on the interval \\(-\\infty, \\infty\\) are solutions Answer: [C] A and B Question: The standard form of the differential equation in question \\( y^{\'}y^{\'\'}=t^3\\) is Answer: [B] \\( y^{\'\'}=\\(frac{t^3}{y^{\'}}\\) Question: A differential equation that describes some physical process is often called a… Answer: [A] Mathematical model Question: A solution of a differential that is identically zero on an interval I is said to be a..: Answer: [C] trivial solution Question: State the order and whether they are linear or non linear the following D.E \\(t^5 y^(4)-t^3y^{\'\'}+6y=0\\) Answer: [B] fourth order linear Question: Solve \\( y^{\'}=e^{2t}-1\\) Answer: [C] \\( y(t)=\\(frac{e^{2t}}{2}-t+c\\) Email: bbcnoun@gmail.com Whatsapp: 08131667008