Differential Equations Answers

Find the solution of Bernoulli Equation

Given:

2xdy+y(y^2lnx-1)dx=0

Find the solution of Bernoulli Equation

Given:

dy+ydx=(2xy^2)e^xdx

Find the solution of Non-Exact D.E

Given:

(x+4y^3)dy-ydx=0

(x^3 - x)dy/dx - (3x^2 - 1)y = x^5 - 2x^3 + x , y(1) = 1

Find the general solution of non-homogenous linear differential equation with constant coefficients.

(D² - 3D + 2)y = 5e^2x

2yy′=x  and  y(2)=3.

A spring is such that a 16 lb weight stretches it by 1.5 in. The weight is pulled down to a point

4 in below the equilibrium point and given an initial downward velocity of 4 ft/sec. An impressed

force of F(t) = 2 cos 74t is acting on the spring. Describe the motion.

Find the general integral of the linear p.d.e

1) Px(x+y) =qy(x+y) - (x-y) (2x+2y+z)

2) x(x^2+3y^2) p - y(3x^2+y^2) q=2z(y^2-x^2)

3) (y+zx) p - (x+yz) q=x^2-y^2

(4x -6y-1) dx + (3x –2y-2) dy = 0