Differential Equations Answers

Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5 million pesos. After 2 years, the value decreased to 1.2 million pesos. If the amount of the car is directly proportional to the constant rate of decay in amount and such decrease in amount continues at the same rate, then how much is the estimated value of the car after 10 years?

(D^3+2D^2D'-DD'^2-2D'^3)z=(y+2)e^x

y'' - 3y' - 10y = 0 ; y(0)=1 and y'(0)=10

dy/dx-y= e^x y^2

X^2 - y^2 = cx

Solve the following differential equations : (x + cosy)dx + (-xsiny)=0

A long thin steel railway tie is 10 yards at 60oF. What will be the length be when the temperature falls to -15oF?

Show that 𝑦 = 2𝑥 ln 𝑥 is a solution to the differential equation "x^2y''-xy'+y=0"

Find a general solution for the differential equation -y''=6x+xe^x (a) using the method of undetermined coefficients. (b) using variation of parameters

determine the approximate age of a piece of burned wood, if it was found that 85.5% of the C-14 found in living trees of the same type had decayed.