(a) 1/x * dy/dx + 2/(1+x^2)*y=3 y(1)=4

(b) 2*x * dy/dx = 2*y + (x^2+y^2)^1/2

Thank you very much

Printable View

- Aug 26th 2006, 04:03 PMsimfonijaDiff equation please
(a) 1/x * dy/dx + 2/(1+x^2)*y=3 y(1)=4

(b) 2*x * dy/dx = 2*y + (x^2+y^2)^1/2

Thank you very much - Aug 26th 2006, 05:09 PMgalactus
I'll give you the solution to b, you try to work to that end. Okey-doke?.

b): - Aug 26th 2006, 05:49 PMThePerfectHackerQuote:

Originally Posted by**simfonija**

Multiply by "x",

This is a*Linear-First Order Differential Equation*.

Here,

Therefore,

Thus, the solutions are,

Thus,

Use, ,

Now you probably mean,

because these are usually how initial conditions are given.

Thus,

From here the unique solution is,