Differential Equations Answers

find the integrating factor of (x²y + y²)dx + (y³–x³)dy = 0

x dy/dx = y + x

x dy/dx = y - x

- y = A cos (4x) + B sin (4x)

Find the integrating factor of given differential equation

(x²y + y²) dx + (y³-x³) dy = 0

The population of a town grows at a rate proportional to the

population present at time t. The initial population of 700 increases by 20% in 15 years. What

will be the population in 35 years? How fast is the population growing at t=35?

define odd even and periodic function and obtain fourier series fx=x,-2<x<2

solve the following initial value problem using laplace transforms 2d^2y/dt^3+3dy/dt-2y=e^-2t y=0,y*=-2

Solve the following partial differential equations 

A) (y-z)∂z/∂x +(z-x)∂z/∂y=(x-y)

B) ∂^2z/∂x^2 +7 ∂^2z/∂x∂y + 6 ∂^2z/∂y^2 =sin(x+2y)

y=c_1e^x+c2e^{2x}+c_3e^{3x},\:y^3-6y^2-6y=0