# Thread: trying to make a separable equation

1. ## trying to make a separable equation

How do you make separable equations for the following equations:

dy/dx = (b/y)*sqrt(1-(x^2/a^2)) - k*y

dy/dx = (m*x+b)/y - k*y

dy/dt = b*sqrt(1-(t^2/a^2)) - k*y^2

dy/dt = m*t + b - k*y^2

the variables y, x, and t are the variables that are not constants, dy/dx or dy/dt denotes derivatives, and sqrt() means that it is the square root of what is in the parentheses.

Any help will be appreciated very much

2. Originally Posted by likemath
How do you make separable equations for the following equations:

dy/dx = (b/y)*sqrt(1-(x^2/a^2)) - k*y

dy/dx = (m*x+b)/y - k*y

dy/dt = b*sqrt(1-(t^2/a^2)) - k*y^2

dy/dt = m*t + b - k*y^2

the variables y, x, and t are the variables that are not constants, dy/dx or dy/dt denotes derivatives, and sqrt() means that it is the square root of what is in the parentheses.

Any help will be appreciated very much
None are seperable. A couple are Riccati type. And a couple are Bernoulli. What types of DE have you studied?

3. Could you show me how to solve them? I have had differential equations but I can't see how bernoulli could be used for any of them since the variable such as t or x is not contained within the term k*y or k*y^2. But I have never studied Riccati.