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z(x+y)p + z(x-y)q = x2 + y2

 string is stretched and fastened 

 to two points 

l

cm apart. Motion is started by displacing the string into the form of the curve 

 

l

x

l

x

y

 2

cos

3

2sin

and then releasing it from this position at time 

t 0.

Do not use the 

 symbol 

l

but its actual value should be used in all of your calculations (steps). Find the 

 displacement function 

y(x,t).


If a wet sheet in a dryer losses its moisture at a rate proportional to its moisture content, and losses half of its moisture during the first 10 minutes, when it will be practically dry? Say when will it have lost 99% of its moisture.


y(x+y)dx + (x+2y-1) dy = 0


p= (z+qy)2 how to solve it by Jacobi 's method



dx/dt=x-y

dy/dt=x+3y


y'''+3y''+3y'+y=0


z= xy+f(x^2+y^2+z^2)



Solve the differential equation

xdx+ydy= a^2(xdy-ydx)/x^2+ y^2


Solve du/dt =DT/