Differential Equations Answers

Solve the following equation
sin(y')=0

Solve the PDE xyp+ y^2 q =xyz -2x^2

x^2p^²-2xyp+2y^2-x^2=0
Using Claratiurs method

Solve (1+yz)dx+x(z-x)dy-(1+xy)dz=0

if z=ax+by+c the p=

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 is stretched and fastened to two points at a distance 0
l
0 apart. Motion is started by
displacing the string in the form y = k sin πx
l
from which it is released at time t = 0. Show
that the displacement of any point on the string at a distance x from one end at time t is
given by k sin πx
l
cos πax
l