Differential Equations Answers

Solve bernoulli equation

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

solve the initial value problem using power series
(x^2 +2)y"-xy'+y=0
Y(0)=7 ,y'(0)=9

X^2 ydx + (y +x^3)dy=0 Find the general solution of differential equations.

A string stretched between two fixed points at a distance 2l apart and the points of the string are given initial velocities v ={CX/l, 0<x<l}
{C(2l-x)/l,l<x<2l
Find the displacement of the string at any time

A string is stretched between two fixed points at a distance 2l apart and the points of the string are given initial velocities v={CX/l, 0<x<l
C(2l-x)/l, l<x<l
Find the displacement of the string at any timr

q+xp=p^2

Solve given differential equations by separation of variables

dy/dx=y^3/x^2

Y=xdy/dx+1/2(dy/dx)^2