Differential Equations Answers

The product cost, represented by y, of smart phone devices are equal to the product of computing componets(a) and the square of the number of divices(x) added to the product of labour(b) and number of devices(x), after which savings on reusable material(c) are subtracted. write down an equation to represent the production cost(y) in terms of a,x,b and c

A tank contains 400 liters of fresh water. By mistake, 100 kg of salt are poured into the tank instead of 90 kg. To correct this condition, 10 liters of brine are allowed to flow out per minute while 10 liters of fresh water per minute are pumped into the tank. If the mixture is kept uniform by stirring, find the time required for the tank to contain the desired amount of salt. 

Construct a h********** linear differential equation with constant coefficients whose solution is y = 6+3xe^x–cosx

solve by method of variation of parameter y'' + y = sec x

find a power series solution of xy'=y

{F} Find the solution of

(D^3+3D^2-4)y=0

{F} Y(4x+y)dx-2(x^2-y)dy=0

{F} 2. Find the particular solution of the differential equation 1 − cos(2t) dx/dt = x sin(2t) given that x(π/2) = 2.

Y=c1e^x+c2e^2x y"-2y+3y=0