Differential Equations Answers

Solve : x(y^2-z^2)p+y(z^2-x^2)q=z(x^2-y^2)

(xy^2)dx + (zx^2)dy −( x^2y^2)dz=0

Solvable for y
y²p-2xp+y=0

(Yz+2x)dx+(zx+2y)dy+(xy+2z)dz=0

Using the method of undetermined coefficients find the general solution of the differential equation
y^iv-2y"'+2y"=3e^-x+3e^-x+e^-xsinx

Solve the ordinary differential equation
Y"+y''+y=0

Solve charpit method: 2z+p^2+qy+2y^2=0

The rate of change of temperature of an object is proportional to the difference between
the temperature of the object and its environment. A glass of hot water at a temperature
of 70ºC is kept in a room which is at a temperature of 30 ºC. If after 3 minutes the
temperature of the water is 50 ºC, what will be its temperature after 5 minutes?

Show that the closed sphere with centre (2,3,7) and radius 10 in 3 R is contained in the
open cube P = {(x, y, z) : x − 2 <11, y − 3 <11, z − 7 <11}.

2x(1-x)y"+(1-x)y'+3y=0 solve by forbeinus series.