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#1 2005-11-28 13:19:26

s0rcerer13
Member
Registered: 2005-11-21
Posts: 3

separable equations

Will someone please help me solve these problems!!

1) Find the particular solution of the differential equation (dy/dx)= (x-5)e^(-2y)

satisfying the initial condition y(5)=ln(5).

2) Find f(x) if y=f(x) satisfies (dy/dx)=18y(x^5) and the y-intercept of the curve is y=f(x) is 5.

3) Solve the separable differential equation (dy/dx)=0.4y, and find the particular solution satisfying the initial condition y(0)= -2.

Last edited by s0rcerer13 (2005-11-28 13:20:14)

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#2 2007-08-13 13:46:38

Krizalid
Member
Registered: 2007-03-09
Posts: 51

Re: separable equations

There're very simple.

The first one can be rewritten as follows:

Then all you have to do is integrate each side.

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