Differential Equations Answers

Classify and reduce the partial differential equation to it's canonical form

Uxx+U2xy+Uyy =0

Differentiate the following and calculate the value of 𝒅𝒚 at the value of x stated: 𝒅𝐱

1. 𝒚=𝟐𝒙𝟑 +𝟒𝒙𝟐 −𝟐𝒙+𝟕 at 𝒙=−𝟐

2. 𝒚=𝟑𝒙𝟒 −𝟓𝒙𝟑 +𝟒𝒙𝟐 −𝒙+𝟒 at 𝒙=𝟑

(Px-y)(Py+x)=2P

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