Differential Equations Answers

dy/dx=xe^x/(e^y+x^2e^y)

under the same assumptions underlying the model in (1), determine a differential equation for the population P(t) of a country when individuals are allowed to immigrate into the country at a constant rate r>0. What is the differential equation for the population P(t) of the country when individuals are allowed to emigrate from the country at a constant rate r>0?

Determine the general solution to the equation ∂²u/∂t²=c²(∂²u/∂x²) under the boundary conditions u(0,t)=u(1,t)=0 and initial conditions u(x,0)=Φ(x), u_t(x,o)=Ψ(x)

Obtain the differential equation by eliminating arbitrary constant.

A ln y = Be^x²

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

write the ordinary differential equation (1+sin y)dx = (2ycosy-x(secy-tan y))dy

Find the general/particular solution of the following Differential Equations

(Non-Exact D.E)

(2x² - 2y² + 2xy)dx + (x² - 2y)dy=0

Solve the given differential equation by using an appropriate substitution. The DE is of the form dy dx = f(Ax + By + C)

dy/dx = cos(x + y)

Solve the given differential equation by using an appropriate substitution. The DE is of the form dy dx = f(Ax + By + C)

dy/dx = (x + y + 1)^2

Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.

dy/dx = y(xy^3-1)