Differential Equations Answers

(D²-3DD'+2D'²)=e^2x-y+e^x+y

 A tightly stretched string of length is fastened at both ends. The midpoint is taken to a height 

   transversely and the string is released from rest in this position. Find the displacement of any point 

  of the string at any subsequent time.

 A string is stretched and fastened to two points “” a part and the points of the string are given 

   initial velocity v, v =. Find the displacement at a distance at time.

(D2-3DD'+2D'2)=e2x-y+ex+y

(x − 4y -9)dx + (4x + y − 2)dy = 0

The rate of change of x is proportional to x. When t=0, x(0) =3, and when t=2, x=6. What js the value of x when t=4?

A certain plutonium isotope decays at a rate proportional to the amount present. Approximately 15% of the original amount decomposes in 100 years. How much amount of the substance has decayed after 600 years?

(D³ – 1)y = 3cos2x

Solve the following equation.

dx/y-xz=dy/yz+x=dz/x^2+y^2